Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23701	Simplify/Condense	( log base 81 of 27*3)/7	$\frac{\log_{81} (27) \cdot 3}{7}$
23702	Simplify/Condense	log base 88 of 11+ log base 88 of 8	$\log_{88} (11) + \log_{88} (8)$
23703	Simplify/Condense	log base 7 of 11/7	$\log_{7} (\frac{11}{7})$
23704	Simplify/Condense	log base 7 of 27/5	$\log_{7} (\frac{27}{5})$
23705	Simplify/Condense	log base 7 of 3^5+ log base 7 of 9	$\log_{7} (3^{5}) + \log_{7} (9)$
23706	Simplify/Condense	log base 7 of 39/11	$\log_{7} (\frac{39}{11})$
23707	Simplify/Condense	log base 7 of (ab)/(cd)	$\log_{7} (\frac{a b}{c d})$
23708	Simplify/Condense	log base 7 of square root of x- log base 7 of x^9	$\log_{7} (\sqrt{x}) - \log_{7} (x^{9})$
23709	Find the Domain	(x-1)/(x^2-16)	$\frac{x - 1}{x^{2} - 16}$
23710	Simplify/Condense	log base 7 of 12	$\log_{7} (12)$
23711	Simplify/Condense	log base 7 of 13	$\log_{7} (13)$
23712	Simplify/Condense	log base 7 of 21+ log base 7 of 567-5 log base 7 of 3	$\log_{7} (21) + \log_{7} (567) - 5 \log_{7} (3)$
23713	Simplify/Condense	log base 7 of 2x-3	$\log_{7} (2 x - 3)$
23714	Solve for x	(x-3)^2-24=0	${(x - 3)}^{2} - 24 = 0$
23715	Simplify/Condense	log base 6 of 54+ log base 6 of 24	$\log_{6} (54) + \log_{6} (24)$
23716	Simplify/Condense	log base 6 of 18+ log base 6 of 2- log base 6 of 9	$\log_{6} (18) + \log_{6} (2) - \log_{6} (9)$
23717	Find the Inverse	f(x) = square root of 2x-3	$f (x) = \sqrt{2 x - 3}$
23718	Solve by Substitution	-4x-2y=-14 , -8x-4y=4	$- 4 x - 2 y = - 14$ , $- 8 x - 4 y = 4$
23719	Simplify/Condense	log base 6 of 13	$\log_{6} (13)$
23720	Simplify/Condense	log base 6 of 1/(72x^4)	$\log_{6} (\frac{1}{72 x^{4}})$
23721	Simplify/Condense	log base 6 of (4 square root of 6)/11	$\log_{6} (\frac{4 \sqrt{6}}{11})$
23722	Simplify/Condense	log base 6 of square root of 7/6	$\log_{6} (\sqrt{\frac{7}{6}})$
23723	Simplify/Condense	log base 5 of 1000- log base 5 of 8	$\log_{5} (1000) - \log_{5} (8)$
23724	Convert to Interval Notation	(x-1)(x+2)<=0	$(x - 1) (x + 2) \leq 0$
23725	Simplify/Condense	log base 5 of x^2-64- log base 5 of x-8	$\log_{5} (x^{2} - 64) - \log_{5} (x - 8)$
23726	Simplify/Condense	log base 5 of x^3y^6	$\log_{5} (x^{3} y^{6})$
23727	Simplify/Condense	log base 5 of x^5- log base 5 of x^(1/125)	$\log_{5} (x^{5}) - \log_{5} (x^{\frac{1}{125}})$
23728	Find the Asymptotes	y=3cot(1/2x)-4	$y = 3 \cot (\frac{1}{2} x) - 4$
23729	Find the Asymptotes	f(x)=(1/2)^x	$f (x) = {(\frac{1}{2})}^{x}$
23730	Simplify/Condense	log base 5 of 750- log base 5 of 6	$\log_{5} (750 - \log_{5} (6))$
23731	Simplify/Condense	log base 5 of 8+ log base 5 of 11	$\log_{5} (8) + \log_{5} (11)$
23732	Simplify/Condense	log base 5 of 80	$\log_{5} (80)$
23733	Simplify/Condense	log base 5 of c-d	$\log_{5} (c - d)$
23734	Simplify/Condense	log base 5 of x+8 log base 25 of x-2-9 log base 125 of x+2	$\log_{5} (x) + 8 \log_{25} (x - 2) - 9 \log_{125} (x + 2)$
23735	Simplify/Condense	log base 5 of x+5- log base 5 of 2x-6	$\log_{5} (x + 5) - \log_{5} (2 x - 6)$
23736	Simplify/Condense	log base 5 of x-5- log base 5 of x+8	$\log_{5} (x - 5) - \log_{5} (x + 8)$
23737	Simplify/Condense	log base 6 of ( seventh root of x^2y)/36	$\log_{6} (\frac{\sqrt[7]{x^{2} y}}{36})$
23738	Simplify/Condense	log base 6 of 1/( fifth root of 36)	$\log_{6} (\frac{1}{\sqrt[5]{36}})$
23739	Simplify/Condense	log base 5 of 18- log base 5 of 18 log base 5 of 25	$\log_{5} (18) - \log_{5} (18) \log_{5} (25)$
23740	Simplify/Condense	log base 5 of 25.125	$\log_{5} (25.125)$
23741	Simplify/Condense	log base 5 of 27	$\log_{5} (27)$
23742	Simplify/Condense	log base 5 of 28- log base 5 of 4	$\log_{5} (28) - \log_{5} (4)$
23743	Simplify/Condense	log base 5 of 4* log base 4 of 25	$\log_{5} (4) \cdot \log_{4} (25)$
23744	Simplify/Condense	log base 5 of 47	$\log_{5} (47)$
23745	Simplify/Condense	log base 5 of 1/8	$\log_{5} (\frac{1}{8})$
23746	Simplify/Condense	log base 5 of square root of 125- log base 2 of square root of 2	$\log_{5} (\sqrt{125}) - \log_{2} (\sqrt{2})$
23747	Simplify/Condense	log base 4 of 2x-2 log base 4 of y	$\log_{4} (2 x) - 2 \log_{4} (y)$
23748	Simplify/Condense	log base 4 of 30	$\log_{4} (30)$
23749	Graph	(x-2)^2+(y+3)^2=16	${(x - 2)}^{2} + {(y + 3)}^{2} = 16$
23750	Simplify/Condense	log base 4 of 7*5	$\log_{4} (7 \cdot 5)$
23751	Simplify	natural log of e^3x^4	$\ln (e^{3} x^{4})$
23752	Simplify	sin(theta+2pi)	$\sin (θ + 2 π)$
23753	Simplify/Condense	log base 4 of c-2 log base 4 of d	$\log_{4} (c) - 2 \log_{4} (d)$
23754	Simplify/Condense	log base 4 of x-3-5 log base 4 of x-1/2* log base 4 of x^2+1+2 log base 4 of 3x+5	$\log_{4} (x - 3) - 5 \log_{4} (x) - \frac{1}{2} \cdot \log_{4} (x^{2} + 1) + 2 \log_{4} (3 x + 5)$
23755	Simplify/Condense	log base 5 of 0.04	$\log_{5} (0.04)$
23756	Simplify/Condense	log base 5 of 0.2	$\log_{5} (0.2)$
23757	Simplify/Condense	log base 5 of 0.256	$\log_{5} (0.256)$
23758	Simplify/Condense	log base 5 of ( eighth root of m cube root of n)/(k^2)	$\log_{5} (\frac{\sqrt[8]{m} \sqrt[3]{n}}{k^{2}})$
23759	Simplify/Condense	log base 5 of (x^4y^5)/3	$\log_{5} (\frac{x^{4} y^{5}}{3})$
23760	Simplify	square root of 16x^2+16y^2	$\sqrt{16 x^{2} + 16 y^{2}}$
23761	Simplify/Condense	log base 4 of fourth root of 64	$\log_{4} (\sqrt[4]{64})$
23762	Find the Roots (Zeros)	x^4+2x^3-7x^2-8x+12	$x^{4} + 2 x^{3} - 7 x^{2} - 8 x + 12$
23763	Write as a Function of ?	theta=pi/2	$θ = \frac{π}{2}$
23764	Simplify/Condense	log base 4 of x^2-13x+36- log base 4 of x-9	$\log_{4} (x^{2} - 13 x + 36) - \log_{4} (x - 9)$
23765	Simplify/Condense	log base 3 of 8* log base 2 of 9	$\log_{3} (8) \cdot \log_{2} (9)$
23766	Simplify/Condense	log base 3 of 28- log base 3 of 7	$\log_{3} (28) - \log_{3} (7)$
23767	Simplify/Condense	log base 3 of 30* log base 30 of 9	$\log_{3} (30) \cdot \log_{30} (9)$
23768	Simplify/Condense	log base 3 of 4-1/2* log base 3 of 6x-5	$\log_{3} (4) - \frac{1}{2} \cdot \log_{3} (6 x - 5)$
23769	Simplify/Condense	log base 4 of x^2-7x+10- log base 4 of x-2+ log base 4 of x+2	$\log_{4} (x^{2} - 7 x + 10) - \log_{4} (x - 2) + \log_{4} (x + 2)$
23770	Simplify/Condense	log base 3 of 1/25	$\log_{3} (\frac{1}{25})$
23771	Solve for ?	4sin(theta)^2=1	$4 \sin^{2} (θ) = 1$
23772	Simplify/Condense	log base 4 of 10+ log base 4 of 6	$\log_{4} (10) + \log_{4} (6)$
23773	Simplify/Condense	log base 4 of 11x	$\log_{4} (11 x)$
23774	Simplify/Condense	log base 4 of 16x	$\log_{4} (16 x)$
23775	Solve for x	4x(x-2)-5x(x-1)=2	$4 x (x - 2) - 5 x (x - 1) = 2$
23776	Simplify/Condense	log base 4 of 2+1/7* log base 4 of r-6-1/2* log base 4 of r	$\log_{4} (2 + \frac{1}{7} \cdot \log_{4} (r - 6)) - \frac{1}{2} \cdot \log_{4} (r)$
23777	Simplify	(-4+5i)+2(1+3i)	$(- 4 + 5 i) + 2 (1 + 3 i)$
23778	Convert to Rectangular Coordinates	(-3,pi/3)	$(- 3, \frac{π}{3})$
23779	Simplify/Condense	log base 3 of x-3 log base 3 of x-1	$\log_{3} (x) - 3 \log_{3} (x - 1)$
23780	Simplify/Condense	log base 33 of 1	$\log_{33} (1)$
23781	Simplify/Condense	log base 4.1 of 19.2	$\log_{4.1} (19.2)$
23782	Expand the Logarithmic Expression	log base 64 of 1/4	$\log_{64} (\frac{1}{4})$
23783	Simplify/Condense	log base 4 of 64^600	$\log_{4} (64^{600})$
23784	Simplify/Condense	log base 4 of (8 square root of y)/p	$\log_{4} (\frac{8 \sqrt{y}}{p})$
23785	Simplify/Condense	log base 3 of 123+ log base 19 of 134532	$\log_{3} (123) + \log_{19} (134532)$
23786	Simplify/Condense	log base 3 of 125	$\log_{3} (125)$
23787	Simplify/Condense	log base 3 of 135- log base 3 of 5	$\log_{3} (135) - \log_{3} (5)$
23788	Simplify/Condense	log base 3 of -15+ log base 3 of 8	$\log_{3} (- 15) + \log_{3} (8)$
23789	Simplify/Condense	log base 3 of 162+27^( log base 3 of 4)	$\log_{3} (162) + 27^{\log_{3} (4)}$
23790	Simplify/Condense	log base 3 of 17	$\log_{3} (17)$
23791	Simplify/Condense	log base 3 of 18+ log base 3 of 4.5	$\log_{3} (18) + \log_{3} (4.5)$
23792	Simplify/Condense	log base 3 of 192- log base 4 of 3	$\log_{3} (192) - \log_{4} (3)$
23793	Simplify/Condense	log base 3 of 216- log base 3 of 8	$\log_{3} (216) - \log_{3} (8)$
23794	Simplify/Condense	log base 3 of 22	$\log_{3} (22)$
23795	Simplify/Condense	log base 3 of 4+ log base 3 of 6+ log base 3 of x-3	$\log_{3} (4) + \log_{3} (6) + \log_{3} (x - 3)$
23796	Simplify/Condense	log base 3 of 5( log base 3 of 81)	$\log_{3} (5) (\log_{3} (81))$
23797	Simplify/Condense	log base 3 of x^2-1	$\log_{3} (x^{2} - 1)$
23798	Simplify/Condense	log base 3 of x^2-1+2 log base 3 of 2x-2-3 log base 3 of x-1	$\log_{3} (x^{2} - 1) + 2 \log_{3} (2 x - 2) - 3 \log_{3} (x - 1)$
23799	Simplify/Condense	log base 3 of z^4	$\log_{3} (z^{4})$
23800	Simplify/Condense	log base 3 of (9x^4)/y	$\log_{3} (\frac{9 x^{4}}{y})$