Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
23501	Simplify/Condense	log base f of 1/f	$\log_{f} (\frac{1}{f})$
23502	Simplify/Condense	log base g of ( square root of st^7)/(r^4)	$\log_{g} (\frac{\sqrt{s} t^{7}}{r^{4}})$
23503	Simplify/Condense	log base g of 4096	$\log_{g} (4096)$
23504	Simplify/Condense	log base m of square root of (2r^3)/(z^5)	$\log_{m} (\sqrt{\frac{2 r^{3}}{z^{5}}})$
23505	Simplify/Condense	log base m of square root of (5r^3)/(z^5)	$\log_{m} (\sqrt{\frac{5 r^{3}}{z^{5}}})$
23506	Simplify/Condense	log base n of 76/13	$\log_{n} (\frac{76}{13})$
23507	Simplify/Condense	log base p of 199	$\log_{p} (199)$
23508	Simplify/Condense	log base p of 76	$\log_{p} (76)$
23509	Find the Exact Value	cot(-45)	$\cot (- 45)$
23510	Simplify/Condense	log base b of s- log base b of y	$\log_{b} (s) - \log_{b} (y)$
23511	Simplify/Condense	log base r of 8+ log base r of 6+ log base r of 3	$\log_{r} (8) + \log_{r} (6) + \log_{r} (3)$
23512	Simplify/Condense	log base t of t^20	$\log_{t} (t^{20})$
23513	Simplify/Condense	log base x of p^59	$\log_{x} (p^{59})$
23514	Simplify/Condense	log base x of 118	$\log_{x} (118)$
23515	Simplify/Condense	log base x of 15+ log base x of 35	$\log_{x} (15) + \log_{x} (35)$
23516	Simplify/Condense	log base x of 16-3 log base x of 2+ log base x of 5	$\log_{x} (16) - 3 \log_{x} (2) + \log_{x} (5)$
23517	Simplify/Condense	log base x of 3+( log of 3)/( log of x/3)+( log of 3)/( log of x/81)	$\log_{x} (3) + \frac{\log (3)}{\log (\frac{x}{3})} + \frac{\log (3)}{\log (\frac{x}{81})}$
23518	Simplify/Condense	log base x of -56	$\log_{x} (- 56)$
23519	Simplify/Condense	log base x of 8=2	$\log_{x} (8) = 2$
23520	Simplify/Condense	log base x of y* log base z of y	$\log_{x} (y) \cdot \log_{z} (y)$
23521	Simplify/Condense	log base z of xy^2+2 log base z of x/y-3 log base z of yx^(2/3)	$\log_{z} (x y^{2}) + 2 \log_{z} (\frac{x}{y}) - 3 \log_{z} (y x^{\frac{2}{3}})$
23522	Simplify/Condense	(sin(60)200)/(sin(45)) log of 7	$\frac{\sin (60) \cdot 200}{\sin (45)} \cdot \log (7)$
23523	Simplify/Condense	sin(x)^2-6cos(x)-6=0	$\sin^{2} (x) - 6 \cos (x) - 6 = 0$
23524	Simplify/Condense	square root of 64 log base x of 36	$\sqrt{64 \log_{x} (36)}$
23525	Simplify/Condense	square root of 7x-x^2-6+ square root of log of (x+3)/(x-3)	$\sqrt{7 x - x^{2} - 6} + \sqrt{\log (\frac{x + 3}{x - 3})}$
23526	Simplify/Condense	square root of natural log of e^9	$\sqrt{\ln (e^{9})}$
23527	Simplify/Condense	square root of natural log of 110	$\sqrt{\ln (110)}$
23528	Simplify/Condense	log base 7 of 4^4+ log base 7 of 16	$\log_{7} (4^{4}) + \log_{7} (16)$
23529	Simplify/Condense	log base 7 of 5^7	$\log_{7} (5^{7})$
23530	Simplify/Condense	log base 7 of 7^3	$\log_{7} (7^{3})$
23531	Simplify/Condense	log base 7 of (mn)/19	$\log_{7} (\frac{m n}{19})$
23532	Simplify/Condense	log base 7 of square root of 343	$\log_{7} (\sqrt{343})$
23533	Simplify/Condense	log base 6 of 9+ log base 6 of 8- log base 6 of 2	$\log_{6} (9) + \log_{6} (8) - \log_{6} (2)$
23534	Simplify/Condense	log base 6 of 9+2 log base 6 of 2	$\log_{6} (9) + 2 \log_{6} (2)$
23535	Simplify/Condense	log base 6 of 93	$\log_{6} (93)$
23536	Simplify/Condense	log base 6 of 95	$\log_{6} (95)$
23537	Simplify/Condense	log base 7 of 0.125	$\log_{7} (0.125)$
23538	Simplify/Condense	log base 6 of x-3 log base 6 of y-4 log base 6 of z	$\log_{6} (x) - 3 \log_{6} (y) - 4 \log_{6} (z)$
23539	Simplify/Condense	log base 6 of xx-6	$\log_{6} (x) x - 6$
23540	Simplify/Condense	log base 6 of x+4+ log base 6 of x+1=1	$\log_{6} (x + 4) + \log_{6} (x + 1) = 1$
23541	Simplify/Condense	log base 6 of x-1+ log base 6 of x-1	$\log_{6} (x - 1) + \log_{6} (x) - 1$
23542	Simplify/Condense	log base 6 of x-2=2	$\log_{6} (x - 2) = 2$
23543	Simplify/Condense	log base 6 of x-5	$\log_{6} (x - 5)$
23544	Simplify/Condense	log base 7 of 3- log base 7 of 15	$\log_{7} (3) - \log_{7} (15)$
23545	Simplify/Condense	log base 7 of x^4y^6	$\log_{7} (x^{4} y^{6})$
23546	Simplify/Condense	log base 7 of 147	$\log_{7} (147)$
23547	Simplify/Condense	log base 7 of 147- log base 7 of 3	$\log_{7} (147) - \log_{7} (3)$
23548	Simplify/Condense	log base 7 of 21	$\log_{7} (21)$
23549	Simplify/Condense	log base 7 of 22- log base 7 of 11	$\log_{7} (22) - \log_{7} (11)$
23550	Simplify/Condense	log base 7 of 2401	$\log_{7} (2401)$
23551	Simplify/Condense	log base 7 of 245	$\log_{7} (245)$
23552	Simplify/Condense	log base 7 of x^2-2x-48- log base 7 of x-8+ log base 7 of 3	$\log_{7} (x^{2} - 2 x - 48) - \log_{7} (x - 8) + \log_{7} (3)$
23553	Simplify/Condense	log base 7 of x^2-5x+6- log base 7 of x-3	$\log_{7} (x^{2} - 5 x + 6) - \log_{7} (x - 3)$
23554	Simplify/Condense	log base 7 of (x^14)/(x-3)	$\log_{7} (\frac{x^{14}}{x - 3})$
23555	Simplify/Condense	log base 7 of 1/343	$\log_{7} (\frac{1}{343})$
23556	Simplify/Condense	log base 7 of 1/49	$\log_{7} (\frac{1}{49})$
23557	Simplify/Condense	log base 7 of 8x^3	$\log_{7} (8 x^{3})$
23558	Simplify/Condense	log base 7 of 9- log base 7 of 2	$\log_{7} (9) - \log_{7} (2)$
23559	Simplify/Condense	log base 7 of 9 log base 9 of 8	$\log_{7} (9) \log_{9} (8)$
23560	Simplify/Condense	log base 7 of x+ log base 7 of y+3 log base 7 of z	$\log_{7} (x) + \log_{7} (y) + 3 \log_{7} (z)$
23561	Simplify/Condense	log base 7 of x-8- log base 7 of x*0.5	$\log_{7} (x - 8) - \log_{7} (x) \cdot 0.5$
23562	Simplify/Condense	log base 8 of (x^6)/(yz^7)	$\log_{8} (\frac{x^{6}}{y z^{7}})$
23563	Simplify/Condense	log base 8 of 1/16	$\log_{8} (\frac{1}{16})$
23564	Simplify/Condense	log base 8 of 1/2	$\log_{8} (\frac{1}{2})$
23565	Simplify/Condense	log base 8 of 1/25	$\log_{8} (\frac{1}{25})$
23566	Simplify/Condense	log base 7 of 5( log base 5 of 49)	$\log_{7} (5) (\log_{5} (49))$
23567	Simplify/Condense	log base 7 of 5- log base 7 of 5/3	$\log_{7} (5) - \log_{7} (\frac{5}{3})$
23568	Simplify/Condense	log base 7 of 5*13	$\log_{7} (5 \cdot 13)$
23569	Simplify/Condense	log base 7 of 35- log base 7 of 735+ log base 7 of 3	$\log_{7} (35) - \log_{7} (735) + \log_{7} (3)$
23570	Simplify/Condense	log base 7 of 4* log base 4 of 2401	$\log_{7} (4) \cdot \log_{4} (2401)$
23571	Simplify/Condense	log base 8 of 11x^8+ log base 8 of 6x^7	$\log_{8} (11 x^{8}) + \log_{8} (6 x^{7})$
23572	Simplify/Condense	log base 8 of 15- log base 8 of 3	$\log_{8} (15) - \log_{8} (3)$
23573	Simplify/Condense	log base 7 of 7+ log base 7 of 49+3^( log base 3 of 7)	$\log_{7} (7) + \log_{7} (49) + 3^{\log_{3} (7)}$
23574	Simplify/Condense	log base 7 of 6* log base 6 of 2401	$\log_{7} (6) \cdot \log_{6} (2401)$
23575	Simplify/Condense	log base 8 of 2^12	$\log_{8} (2^{12})$
23576	Simplify/Condense	log base 8 of 2^6.3	$\log_{8} (2^{6.3})$
23577	Simplify/Condense	log base 8 of 64/( square root of x+1)	$\log_{8} (\frac{64}{\sqrt{x + 1}})$
23578	Simplify/Condense	log base 8 of 8^12	$\log_{8} (8^{12})$
23579	Simplify/Condense	log base 8 of 8^66	$\log_{8} (8^{66})$
23580	Simplify/Condense	log base 8 of square root of 3	$\log_{8} (\sqrt{3})$
23581	Simplify/Condense	log base 9 of z+( log base 9 of x)/2+( log base 9 of y)/2	$\log_{9} (z) + \frac{\log_{9} (x)}{2} + \frac{\log_{9} (y)}{2}$
23582	Simplify/Condense	log base a of a^4	$\log_{a} (a^{4})$
23583	Simplify/Condense	log base a of a^5	$\log_{a} (a^{5})$
23584	Simplify/Condense	log base 9 of 81x^3	$\log_{9} (81 x^{3})$
23585	Simplify/Condense	log base 9 of 96-5 log base 9 of 2-4	$\log_{9} (96) - 5 \log_{9} (2 - 4)$
23586	Simplify/Condense	log base 9 of 9x	$\log_{9} (9 x)$
23587	Simplify/Condense	log base a of u^3v^5	$\log_{a} (u^{3} v^{5})$
23588	Simplify/Condense	log base a of x^2-2xy+y^2- log base a of x-y	$\log_{a} (x^{2} - 2 x y + y^{2}) - \log_{a} (x - y)$
23589	Simplify/Condense	log base 8 of 16+ log base 8 of 2	$\log_{8} (16) + \log_{8} (2)$
23590	Simplify/Condense	log base 8 of 16x+ log base 8 of 2x^2	$\log_{8} (16 x) + \log_{8} (2 x^{2})$
23591	Simplify/Condense	log base 8 of 18	$\log_{8} (18)$
23592	Simplify/Condense	log base 9 of 12- log base 9 of x	$\log_{9} (12) - \log_{9} (x)$
23593	Simplify/Condense	log base 9 of fourth root of x	$\log_{9} (\sqrt[4]{x})$
23594	Simplify/Condense	log base 9 of x/8	$\log_{9} (\frac{x}{8})$
23595	Simplify/Condense	log base 9 of x^2-9- log base 9 of x-3	$\log_{9} (x^{2} - 9) - \log_{9} (x - 3)$
23596	Simplify/Condense	log base 9 of x^3 square root of y/(z^9)	$\log_{9} (x^{3}) \sqrt{\frac{y}{z^{9}}}$
23597	Simplify/Condense	log base 9 of 0.1	$\log_{9} (0.1)$
23598	Simplify/Condense	log base 9 of 11	$\log_{9} (11)$
23599	Simplify/Condense	log base 9 of 19z	$\log_{9} (19 z)$
23600	Simplify/Condense	log base 9 of 20	$\log_{9} (20)$