Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
22701	Simplify/Condense	4 log base 5 of x	$4 \log_{5} (x)$
22702	Simplify/Condense	4 log base 5 of x+5- log base 5 of x-8- log base 5 of x-4	$4 \log_{5} (x + 5) - \log_{5} (x - 8) - \log_{5} (x - 4)$
22703	Simplify/Condense	4 log base 6 of square root of 3x-1- log base 6 of 4/x+ log base 6 of 4	$4 \log_{6} (\sqrt{3 x - 1}) - \log_{6} (\frac{4}{x}) + \log_{6} (4)$
22704	Simplify/Condense	-4 log base 6 of 2x	$- 4 \log_{6} (2 x)$
22705	Simplify/Condense	4 log base 6 of u-7 log base 6 of w+1/3* log base 6 of v	$4 \log_{6} (u) - 7 \log_{6} (w) + \frac{1}{3} \cdot \log_{6} (v)$
22706	Simplify/Condense	4 log base 7 of square root of 7x-6- log base 7 of 4/x+ log base 7 of 4	$4 \log_{7} (\sqrt{7 x - 6}) - \log_{7} (\frac{4}{x}) + \log_{7} (4)$
22707	Simplify/Condense	4 log base 7 of square root of 7x-6- log base 7 of 6/x+ log base 7 of 6	$4 \log_{7} (\sqrt{7 x - 6}) - \log_{7} (\frac{6}{x}) + \log_{7} (6)$
22708	Simplify/Condense	4 log base 7 of cube root of 49	$4 \log_{7} (\sqrt[3]{49})$
22709	Simplify/Condense	4 log base 7 of 6-8 log base 7 of 5	$4 \log_{7} (6) - 8 \log_{7} (5)$
22710	Simplify/Condense	4 log base 7 of u+3 log base 7 of v	$4 \log_{7} (u) + 3 \log_{7} (v)$
22711	Simplify/Condense	4 log base 7 of u+6 log base 7 of v	$4 \log_{7} (u) + 6 \log_{7} (v)$
22712	Simplify/Condense	4 log base 7 of w-1/4* log base 7 of y+5 log base 7 of z	$4 \log_{7} (w) - \frac{1}{4} \cdot \log_{7} (y) + 5 \log_{7} (z)$
22713	Simplify/Condense	4 log base 7 of x+7- log base 7 of x-13- log base 7 of x-18	$4 \log_{7} (x + 7) - \log_{7} (x - 13) - \log_{7} (x - 18)$
22714	Simplify/Condense	4 log base 7 of x+7- log base 7 of x-7- log base 7 of x-1	$4 \log_{7} (x + 7) - \log_{7} (x - 7) - \log_{7} (x - 1)$
22715	Simplify/Condense	-4 log base 8 of 3	$- 4 \log_{8} (3)$
22716	Simplify/Condense	4 log base 8 of 7+( log base 8 of 6)/3	$4 \log_{8} (7) + \frac{\log_{8} (6)}{3}$
22717	Simplify/Condense	4 log base 8 of x+5 log base 8 of x+2	$4 \log_{8} (x) + 5 \log_{8} (x + 2)$
22718	Simplify/Condense	4 log base 8 of x+5 log base 8 of z	$4 \log_{8} (x) + 5 \log_{8} (z)$
22719	Simplify/Condense	4 log base 9 of 11-4 log base 9 of 7	$4 \log_{9} (11) - 4 \log_{9} (7)$
22720	Simplify/Condense	4 log base 9 of u- log base 9 of v	$4 \log_{9} (u) - \log_{9} (v)$
22721	Simplify/Condense	4 log base 9 of x+1/4* log base 9 of y	$4 \log_{9} (x) + \frac{1}{4} \cdot \log_{9} (y)$
22722	Simplify/Condense	4 log base 9 of x-2 log base 9 of y	$4 \log_{9} (x) - 2 \log_{9} (y)$
22723	Simplify/Condense	4 log base 9 of x-20 log base 9 of y	$4 \log_{9} (x) - 20 \log_{9} (y)$
22724	Simplify/Condense	4 log base a of 3x^8-1/5* log base a of 8x+15	$4 \log_{a} (3 x^{8}) - \frac{1}{5} \cdot \log_{a} (8 x + 15)$
22725	Simplify/Condense	4 log base a of 8x^5-1/6* log base a of 9x+5	$4 \log_{a} (8 x^{5}) - \frac{1}{6} \cdot \log_{a} (9 x + 5)$
22726	Simplify/Condense	4 log base a of q- log base a of r	$4 \log_{a} (q) - \log_{a} (r)$
22727	Simplify/Condense	4 log base a of x-0.25 log base a of y+7 log base a of w	$4 \log_{a} (x) - 0.25 \log_{a} (y) + 7 \log_{a} (w)$
22728	Simplify/Condense	4 log base b of x-2- log base b of 6-1/2* log base b of y	$4 \log_{b} (x - 2) - \log_{b} (6) - \frac{1}{2} \cdot \log_{b} (y)$
22729	Simplify/Condense	4 log base x of 8+2 log base x of 9	$4 \log_{x} (8) + 2 \log_{x} (9)$
22730	Simplify/Condense	-40.28+8.314298 natural log of 3.58*10^9	$- 40.28 + 8.314 \cdot 298 \cdot \ln (3.58 \cdot 10^{9})$
22731	Simplify/Condense	4-4 log base 5 of 20	$4 - 4 \log_{5} (20)$
22732	Simplify/Condense	-4500 natural log of 0.7	$- 4500 \ln (0.7)$
22733	Simplify/Condense	48 log base 8 of eighth root of x+ log base 8 of 48x^9- log base 8 of 48	$48 \log_{8} (\sqrt[8]{x}) + \log_{8} (48 x^{9}) - \log_{8} (48)$
22734	Simplify/Condense	4 natural log of e^(12x-5)	$4 \ln (e^{12 x - 5})$
22735	Simplify/Condense	4 natural log of x^(3/3)+ natural log of 3x	$4 \ln (x^{\frac{3}{3}}) + \ln (3 x)$
22736	Simplify/Condense	4 natural log of x^3-3 natural log of y^3-2 natural log of z^7+ natural log of x	$4 \ln (x^{3}) - 3 \ln (y^{3}) - 2 \ln (z^{7}) + \ln (x)$
22737	Simplify/Condense	4 natural log of x^5-6 natural log of y^3-7 natural log of z^7+ natural log of x	$4 \ln (x^{5}) - 6 \ln (y^{3}) - 7 \ln (z^{7}) + \ln (x)$
22738	Simplify/Condense	4 natural log of x^7-2 natural log of y^3-3 natural log of z^7+ natural log of x	$4 \ln (x^{7}) - 2 \ln (y^{3}) - 3 \ln (z^{7}) + \ln (x)$
22739	Simplify/Condense	4 natural log of x^7y-2 natural log of xy^6	$4 \ln (x^{7} y) - 2 \ln (x y^{6})$
22740	Simplify/Condense	4 natural log of 2+1/2* natural log of 9- natural log of 6	$4 \ln (2) + \frac{1}{2} \cdot \ln (9) - \ln (6)$
22741	Simplify/Condense	4 natural log of 2+9 natural log of x-2	$4 \ln (2) + 9 \ln (x - 2)$
22742	Simplify/Condense	4 natural log of 2x+1	$4 \ln (2 x) + 1$
22743	Simplify/Condense	4 natural log of 2x+ natural log of y-1/2* natural log of x+1	$4 \ln (2 x) + \ln (y) - \frac{1}{2} \cdot \ln (x + 1)$
22744	Simplify/Condense	4 natural log of 3-4 natural log of 2	$4 \ln (3) - 4 \ln (2)$
22745	Simplify/Condense	4 natural log of 3x=15	$4 \ln (3 x) = 15$
22746	Simplify/Condense	4 natural log of 5-3 natural log of 3	$4 \ln (5) - 3 \ln (3)$
22747	Simplify/Condense	4 natural log of t+1/2* natural log of x-5 natural log of x^2+1	$4 \ln (t) + \frac{1}{2} \cdot \ln (x) - 5 \ln (x^{2} + 1)$
22748	Simplify/Condense	4 natural log of u-1/2* natural log of w^2	$4 \ln (u) - \frac{1}{2} \cdot \ln (w^{2})$
22749	Simplify/Condense	4 natural log of x-3/4 natural log of y	$4 \ln (x) - \frac{3}{4} \ln (y)$
22750	Simplify/Condense	4 natural log of x-(7 natural log of y+1/3* natural log of z)	$4 \ln (x) - (7 \ln (y) + \frac{1}{3} \cdot \ln (z))$
22751	Simplify/Condense	4 natural log of x-1/2* natural log of y	$4 \ln (x) - \frac{1}{2} \cdot \ln (y)$
22752	Simplify/Condense	4 natural log of x-1/8* natural log of y	$4 \ln (x) - \frac{1}{8} \cdot \ln (y)$
22753	Simplify/Condense	4 natural log of x+2 natural log of y	$4 \ln (x) + 2 \ln (y)$
22754	Simplify/Condense	4 natural log of x+2 natural log of z-3 natural log of y	$4 \ln (x) + 2 \ln (z) - 3 \ln (y)$
22755	Simplify/Condense	4 natural log of x+5 natural log of y	$4 \ln (x) + 5 \ln (y)$
22756	Simplify/Condense	4 natural log of x+5 natural log of y-2 natural log of z	$4 \ln (x) + 5 \ln (y) - 2 \ln (z)$
22757	Simplify/Condense	3 log of x+ log of 7-2 log of y	$3 \log (x) + \log (7) - 2 \log (y)$
22758	Simplify/Condense	3 log of x+ log of 7-2 log of y	$3 \log (x) + \log (7 - 2) \log (y)$
22759	Simplify/Condense	3 log of x+ log of y- log of z	$3 \log (x) + \log (y) - \log (z)$
22760	Simplify/Condense	3 log of x=729	$3 \log (x) = 729$
22761	Simplify/Condense	3 log of x-2 log of 4-4 log of y+2 log of 3	$3 \log (x) - 2 \log (4) - 4 \log (y) + 2 \log (3)$
22762	Simplify/Condense	3 log of x-5 log of x^2+1+5 log of x-1	$3 \log (x) - 5 \log (x^{2} + 1) + 5 \log (x - 1)$
22763	Simplify/Condense	3 log of x- log of x^2-4+2 log of x-2	$3 \log (x) - \log (x^{2} - 4) + 2 \log (x - 2)$
22764	Simplify/Condense	3 log of x- log of y-2 log of z	$3 \log (x) - \log (y) - 2 \log (z)$
22765	Simplify/Condense	3 log of x-1/2 log of x^2+1+5 log of x-1	$3 \log (x - \frac{1}{2}) \log (x^{2} + 1) + 5 \log (x - 1)$
22766	Simplify/Condense	3 log of x+1- log of y-1	$3 \log (x + 1) - \log (y - 1)$
22767	Simplify/Condense	3 log of x+3-5 log of x^2+4+1/4* log of y	$3 \log (x + 3) - 5 \log (x^{2} + 4) + \frac{1}{4} \cdot \log (y)$
22768	Simplify/Condense	3 log of x+4-2 log of x-7+5 log of x-2- log of x^2	$3 \log (x + 4) - 2 \log (x - 7) + 5 \log (x - 2) - \log (x^{2})$
22769	Simplify/Condense	3 log of x+4 log of x-2	$3 \log (x + 4) \log (x - 2)$
22770	Simplify/Condense	3 log of x+y+2 log of x-y- log of x^2-y^2	$3 \log (x + y) + 2 \log (x - y) - \log (x^{2} - y^{2})$
22771	Simplify/Condense	3 log of x-4	$3 \log (x - 4)$
22772	Simplify/Condense	3 log of x-x log of 6-8 log of z^-4	$3 \log (x - x) \log (6 - 8 \log (z^{- 4}))$
22773	Simplify/Condense	3sin(h( natural log of t))	$3 \sinh (\ln (t))$
22774	Simplify/Condense	3x natural log of 3x	$3 x \ln (3 x)$
22775	Simplify/Condense	4( natural log of z+ natural log of z+5-2 natural log of z-5)	$4 (\ln (z) + \ln (z + 5) - 2 \ln (z - 5))$
22776	Simplify/Condense	4 natural log of x-4-2 natural log of x	$4 \ln (x - 4) - 2 \ln (x)$
22777	Simplify/Condense	4( log base 6 of x-3 log base 6 of z)+2 log base 6 of y	$4 (\log_{6} (x) - 3 \log_{6} (z)) + 2 \log_{6} (y)$
22778	Simplify/Condense	4( natural log of x+ natural log of x+5)-2 natural log of x-5	$4 (\ln (x) + \ln (x + 5)) - 2 \ln (x - 5)$
22779	Simplify/Condense	4( log of x+ log of y+3 log of z)	$4 (\log (x) + \log (y) + 3 \log (z))$
22780	Simplify/Condense	4*( natural log of 0.01)/( natural log of 2)	$4 \cdot \frac{\ln (0.01)}{\ln (2)}$
22781	Simplify/Condense	4.6 natural log of e^2	$4.6 \ln (e^{2})$
22782	Simplify/Condense	4.7÷(- log of x)	$4.7 \div (- \log (x))$
22783	Simplify/Condense	-4.9(0)^2-3000-3000/0(((30000-1600)/30000)( natural log of (30000-160*0)/30000-1))	$- 4.9 {(0)}^{2} - 3000 - \frac{3000}{0} \cdot ((\frac{30000 - 160 \cdot 0}{30000}) (\ln (\frac{30000 - 160 \cdot 0}{30000}) - 1))$
22784	Simplify/Condense	4( natural log of x+3 natural log of x+2)-3 natural log of 2	$4 (\ln (x) + 3 \ln (x + 2)) - 3 \ln (2)$
22785	Simplify/Condense	4( natural log of x+3 natural log of x+5)-2 natural log of x-5	$4 (\ln (x) + 3 \ln (x + 5)) - 2 \ln (x - 5)$
22786	Simplify/Condense	4( natural log of x- natural log of x+4- natural log of x-4)	$4 (\ln (x) - \ln (x + 4) - \ln (x - 4))$
22787	Simplify/Condense	4 natural log of x+6 natural log of y-5 natural log of z	$4 \ln (x) + 6 \ln (y) - 5 \ln (z)$
22788	Simplify/Condense	4 natural log of x-2( natural log of x^3+4 natural log of x)	$4 \ln (x) - 2 (\ln (x^{3}) + 4 \ln (x))$
22789	Simplify/Condense	3 log of x+5 log of x-6	$3 \log (x) + 5 \log (x - 6)$
22790	Simplify/Condense	3 log of x+6 log of x+8	$3 \log (x) + 6 \log (x + 8)$
22791	Simplify/Condense	3 log of x+8 log of y-2 log of z	$3 \log (x) + 8 \log (y) - 2 \log (z)$
22792	Simplify/Condense	3 log of x+3/4* log of y-3-1/2* log of w	$3 \log (x) + \frac{3}{4} \cdot \log (y) - 3 - \frac{1}{2} \cdot \log (w)$
22793	Simplify/Condense	3 log of x+2 log of y-4 log of z	$3 \log (x) + 2 \log (y) - 4 \log (z)$
22794	Simplify/Condense	3- log of x	$3 - \log (x)$
22795	Simplify/Condense	3 log of x-1/3* log of x^2+1+2 log of x-1	$3 \log (x) - \frac{1}{3} \cdot \log (x^{2} + 1) + 2 \log (x - 1)$
22796	Simplify/Condense	3 log of x-1/3* log of x^2+1+4 log of x-1	$3 \log (x) - \frac{1}{3} \cdot \log (x^{2} + 1) + 4 \log (x - 1)$
22797	Simplify/Condense	4 natural log of x+6y-3 natural log of z	$4 \ln (x + 6) y - 3 \ln (z)$
22798	Simplify/Condense	4 natural log of x-2 natural log of x-1	$4 \ln (x - 2) \ln (x - 1)$
22799	Simplify/Condense	4 natural log of x-5-11 natural log of x	$4 \ln (x - 5) - 11 \ln (x)$
22800	Simplify/Condense	4 natural log of y-3 natural log of x+ natural log of 7	$4 \ln (y) - 3 \ln (x) + \ln (7)$