Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
39701	Expand the Logarithmic Expression	log base 8 of square root of 7311	$\log_{8} (\sqrt{7 \cdot 3 \cdot 11})$
39702	Expand the Logarithmic Expression	log base 8 of cube root of x^2+5	$\log_{8} (\sqrt[3]{x^{2} + 5})$
39703	Expand the Logarithmic Expression	log base 8 of cube root of 17	$\log_{8} (\sqrt[3]{17})$
39704	Expand the Logarithmic Expression	log base 8 of cube root of y	$\log_{8} (\sqrt[3]{y})$
39705	Expand the Logarithmic Expression	log base 8 of fourth root of 19	$\log_{8} (\sqrt[4]{19})$
39706	Expand the Logarithmic Expression	log base 8 of fifth root of x^4y	$\log_{8} (\sqrt[5]{x^{4} y})$
39707	Expand the Logarithmic Expression	log base 8 of sixth root of 29	$\log_{8} (\sqrt[6]{29})$
39708	Expand the Logarithmic Expression	log base 8 of ninth root of (s^4t)/64	$\log_{8} (\sqrt[9]{\frac{s^{4} t}{64}})$
39709	Expand the Logarithmic Expression	log base 7 of xyz^4	$\log_{7} (x \cdot y \cdot z^{4})$
39710	Expand the Logarithmic Expression	log base 7 of x+10	$\log_{7} (x + 10)$
39711	Expand the Logarithmic Expression	log base 7 of xy	$\log_{7} (x y)$
39712	Expand the Logarithmic Expression	log base 729 of 1/27	$\log_{729} (\frac{1}{27})$
39713	Expand the Logarithmic Expression	log base 8 of ( square root of g)/64	$\log_{8} (\frac{\sqrt{g}}{64})$
39714	Expand the Logarithmic Expression	log base 8 of ( fifth root of x^2-3)/( fourth root of 9+x^2)	$\log_{8} (\frac{\sqrt[5]{x^{2} - 3}}{\sqrt[4]{9 + x^{2}}})$
39715	Expand the Logarithmic Expression	log base 8 of (x^2)/(y^3z^3)	$\log_{8} (\frac{x^{2}}{y^{3} z^{3}})$
39716	Expand the Logarithmic Expression	log base 8 of (x^3)/(y^3z^3)	$\log_{8} (\frac{x^{3}}{y^{3} z^{3}})$
39717	Expand the Logarithmic Expression	log base 9 of ( square root of r+3)/(s^4t^(1/5))	$\log_{9} (\frac{\sqrt{r + 3}}{s^{4} t^{\frac{1}{5}}})$
39718	Expand the Logarithmic Expression	log base 9 of ( fourth root of xz)/(a^3b^2)	$\log_{9} (\frac{\sqrt[4]{x z}}{a^{3} b^{2}})$
39719	Expand the Logarithmic Expression	log base 9 of (x^5)/(y^5z^7)	$\log_{9} (\frac{x^{5}}{y^{5} z^{7}})$
39720	Expand the Logarithmic Expression	log base 9 of (x^6)/(y^3)	$\log_{9} (\frac{x^{6}}{y^{3}})$
39721	Expand the Logarithmic Expression	log base 9 of (xy^3)/(z^4)	$\log_{9} (\frac{x y^{3}}{z^{4}})$
39722	Expand the Logarithmic Expression	log base 9 of 1/2	$\log_{9} (\frac{1}{2})$
39723	Expand the Logarithmic Expression	log base 9 of 1/25	$\log_{9} (\frac{1}{25})$
39724	Expand the Logarithmic Expression	log base 9 of 1/3	$\log_{9} (\frac{1}{3})$
39725	Expand the Logarithmic Expression	log base 9 of 1/729	$\log_{9} (\frac{1}{729})$
39726	Expand the Logarithmic Expression	log base 9 of (2 square root of x)/y	$\log_{9} (\frac{2 \sqrt{x}}{y})$
39727	Expand the Logarithmic Expression	log base 9 of 3/7	$\log_{9} (\frac{3}{7})$
39728	Expand the Logarithmic Expression	log base 9 of 7^5*10^2	$\log_{9} (7^{5} \cdot 10^{2})$
39729	Expand the Logarithmic Expression	log base 9 of (9 square root of 7)/(2n)	$\log_{9} (\frac{9 \sqrt{7}}{2 n})$
39730	Expand the Logarithmic Expression	log base 8 of 7*2	$\log_{8} (7 \cdot 2)$
39731	Expand the Logarithmic Expression	log base 8 of 3k	$\log_{8} (3 k)$
39732	Expand the Logarithmic Expression	log base 8 of 4+ log base 8 of 16	$\log_{8} (4) + \log_{8} (16)$
39733	Expand the Logarithmic Expression	log base 8 of 4+ log base 8 of 2	$\log_{8} (4) + \log_{8} (2)$
39734	Expand the Logarithmic Expression	log base 8 of 4096	$\log_{8} (4096)$
39735	Expand the Logarithmic Expression	log base 8 of 5- log base 8 of 11	$\log_{8} (5) - \log_{8} (11)$
39736	Expand the Logarithmic Expression	log base 8 of 5x	$\log_{8} (5 x)$
39737	Expand the Logarithmic Expression	log base 8 of 6117^4	$\log_{8} (6 \cdot 11 \cdot 7^{4})$
39738	Expand the Logarithmic Expression	log base 8 of (x(x^2+3))/( square root of x^2-3)	$\log_{8} (\frac{x (x^{2} + 3)}{\sqrt{x^{2} - 3}})$
39739	Expand the Logarithmic Expression	- log base 8 of 1.2	$- \log_{8} (1.2)$
39740	Expand the Logarithmic Expression	log base 8 of 19w	$\log_{8} (19 w)$
39741	Expand the Logarithmic Expression	log base 8 of 2*11	$\log_{8} (2 \cdot 11)$
39742	Expand the Logarithmic Expression	log base 8 of (x^6)/( fourth root of y)	$\log_{8} (\frac{x^{6}}{\sqrt[4]{y}})$
39743	Expand the Logarithmic Expression	log base 8 of (xy^2)/(z^3)	$\log_{8} (\frac{x y^{2}}{z^{3}})$
39744	Expand the Logarithmic Expression	log base 8 of 1/( fifth root of 64)	$\log_{8} (\frac{1}{\sqrt[5]{64}})$
39745	Expand the Logarithmic Expression	log base 8 of 1/(z^9)	$\log_{8} (\frac{1}{z^{9}})$
39746	Expand the Logarithmic Expression	log base 8 of 1/16	$\log_{8} (\frac{1}{16})$
39747	Expand the Logarithmic Expression	log base 8 of 1/2	$\log_{8} (\frac{1}{2})$
39748	Expand the Logarithmic Expression	log base 8 of 11^5 square root of 10	$\log_{8} (11^{5} \sqrt{10})$
39749	Expand the Logarithmic Expression	log base 8 of 18/11	$\log_{8} (\frac{18}{11})$
39750	Expand the Logarithmic Expression	log base 8 of 39/2	$\log_{8} (\frac{39}{2})$
39751	Expand the Logarithmic Expression	log base 8 of 5^5 square root of 12	$\log_{8} (5^{5} \sqrt{12})$
39752	Expand the Logarithmic Expression	log base 8 of 5^6*7^2	$\log_{8} (5^{6} \cdot 7^{2})$
39753	Expand the Logarithmic Expression	log base 8 of 64/( square root of x+1)	$\log_{8} (\frac{64}{\sqrt{x + 1}})$
39754	Expand the Logarithmic Expression	log base 8 of (7x+3)/( fourth root of 6-3x)	$\log_{8} (\frac{7 x + 3}{\sqrt[4]{6 - 3 x}})$
39755	Expand the Logarithmic Expression	log base 8 of (8 square root of 5)/(3t)	$\log_{8} (\frac{8 \sqrt{5}}{3 t})$
39756	Expand the Logarithmic Expression	log base 8 of (8pi)/(3k)	$\log_{8} (\frac{8 π}{3 k})$
39757	Expand the Logarithmic Expression	log base 7 of 9y	$\log_{7} (9 y)$
39758	Expand the Logarithmic Expression	log base 7 of c cube root of a*b	$\log_{7} (c \sqrt[3]{a \cdot b})$
39759	Expand the Logarithmic Expression	log base 7 of 49x^3 fifth root of y^2	$\log_{7} (49 x^{3} \sqrt[5]{y^{2}})$
39760	Expand the Logarithmic Expression	log base 7 of z^6 cube root of x	$\log_{7} (z^{6} \sqrt[3]{x})$
39761	Expand the Logarithmic Expression	log base 7 of 5* log base 5 of 49	$\log_{7} (5) \cdot \log_{5} (49)$
39762	Expand the Logarithmic Expression	log base 7 of 5*11	$\log_{7} (5 \cdot 11)$
39763	Expand the Logarithmic Expression	log base 7 of 50	$\log_{7} (50)$
39764	Expand the Logarithmic Expression	log base 7 of 5k	$\log_{7} (5 k)$
39765	Expand the Logarithmic Expression	log base 7 of 700	$\log_{7} (700)$
39766	Expand the Logarithmic Expression	log base 7 of cube root of (x^4y)/49	$\log_{7} (\sqrt[3]{\frac{x^{4} y}{49}})$
39767	Expand the Logarithmic Expression	log base 7 of cube root of x^2+9	$\log_{7} (\sqrt[3]{x^{2} + 9})$
39768	Expand the Logarithmic Expression	log base 7 of cube root of 7	$\log_{7} (\sqrt[3]{7})$
39769	Expand the Logarithmic Expression	log base 7 of cube root of xyz	$\log_{7} (\sqrt[3]{x \cdot y \cdot z})$
39770	Expand the Logarithmic Expression	log base 7 of fourth root of 11	$\log_{7} (\sqrt[4]{11})$
39771	Expand the Logarithmic Expression	log base 7 of fourth root of 7	$\log_{7} (\sqrt[4]{7})$
39772	Expand the Logarithmic Expression	log base 7 of fifth root of 49	$\log_{7} (\sqrt[5]{49})$
39773	Expand the Logarithmic Expression	log base 7 of seventh root of 7	$\log_{7} (\sqrt[7]{7})$
39774	Expand the Logarithmic Expression	log base 7 of (x(x^2+6))/( square root of x^2-6)	$\log_{7} (\frac{x (x^{2} + 6)}{\sqrt{x^{2} - 6}})$
39775	Expand the Logarithmic Expression	log base 7 of x/4	$\log_{7} (\frac{x}{4})$
39776	Expand the Logarithmic Expression	log base 7 of x^2*y^3	$\log_{7} (x^{2} \cdot y^{3})$
39777	Expand the Logarithmic Expression	log base 7 of x^2-1- log base 7 of x-1	$\log_{7} (x^{2} - 1) - \log_{7} (x - 1)$
39778	Expand the Logarithmic Expression	log base 7 of x^4	$\log_{7} (x^{4})$
39779	Expand the Logarithmic Expression	log base 7 of square root of x	$\log_{7} (\sqrt{x})$
39780	Expand the Logarithmic Expression	log base 7 of 11*2	$\log_{7} (11 \cdot 2)$
39781	Expand the Logarithmic Expression	log base 7 of 12	$\log_{7} (12)$
39782	Expand the Logarithmic Expression	log base 7 of 13*23	$\log_{7} (13 \cdot 23)$
39783	Expand the Logarithmic Expression	log base 7 of 14+ log base 7 of 14	$\log_{7} (14) + \log_{7} (14)$
39784	Expand the Logarithmic Expression	log base 7 of 17	$\log_{7} (17)$
39785	Expand the Logarithmic Expression	log base 7 of 19x^3	$\log_{7} (19 x^{3})$
39786	Expand the Logarithmic Expression	log base 7 of 19y	$\log_{7} (19 y)$
39787	Expand the Logarithmic Expression	log base 7 of 23z	$\log_{7} (23 z)$
39788	Expand the Logarithmic Expression	log base 7 of 3y	$\log_{7} (3 y)$
39789	Expand the Logarithmic Expression	log base 7 of 4x^2	$\log_{7} (4 x^{2})$
39790	Expand the Logarithmic Expression	log base 7 of 44	$\log_{7} (44)$
39791	Expand the Logarithmic Expression	log base 7 of 2x	$\log_{7} (2 x)$
39792	Simplify/Condense	log of 4+ log of 9+ log of 2	$\log (4) + \log (9) + \log (2)$
39793	Simplify/Condense	log of 4192- log of 43	$\log (4) \cdot 192 - \log (4) \cdot 3$
39794	Simplify/Condense	log of 420- log of 45	$\log (4) \cdot 20 - \log (4) \cdot 5$
39795	Simplify/Condense	log of 47 log of 7*256	$\log (4) \cdot 7 \cdot \log (7) \cdot 256$
39796	Simplify/Condense	log of 4- log of 10+ log of 250	$\log (4) - \log (10) + \log (250)$
39797	Simplify/Condense	log of 4- log of 8+ log of 3+ log of 5	$\log (4) - \log (8) + \log (3) + \log (5)$
39798	Simplify/Condense	- log of 4.23+ log of 10^-13	$- \log (4.23) + \log (10^{- 13})$
39799	Simplify/Condense	log of 4x^3y square root of xy	$\log (4 x^{3} y \sqrt{x y})$
39800	Simplify/Condense	log of 40+2* log of 5	$\log (40) + 2 \cdot \log (5)$