Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
16501	Expand the Logarithmic Expression	log base a of (x^2)/(yz^7)	$\log_{a} (\frac{x^{2}}{y z^{7}})$
16502	Expand the Logarithmic Expression	log base 7 of h^2j^11k^-5	$\log_{7} (h^{2} j^{11} k^{- 5})$
16503	Expand the Logarithmic Expression	log base 9 of 6561	$\log_{9} (6561)$
16504	Expand the Logarithmic Expression	log base a of (6xy^3)/(z^4)	$\log_{a} (\frac{6 x y^{3}}{z^{4}})$
16505	Expand the Logarithmic Expression	log base 9 of 3 square root of 1185	$\log_{9} (3 \sqrt{11 \cdot 8 \cdot 5})$
16506	Expand the Logarithmic Expression	log base 8 of (a((b-2)^5))/(6c^2)	$\log_{8} (\frac{a ({(b - 2)}^{5})}{6 c^{2}})$
16507	Expand the Logarithmic Expression	log base 8 of xyz^3	$\log_{8} (x \cdot y \cdot z^{3})$
16508	Expand the Logarithmic Expression	log base a of (x^5)/(yz^6)	$\log_{a} (\frac{x^{5}}{y z^{6}})$
16509	Expand the Logarithmic Expression	log base a of u^2v^5	$\log_{a} (u^{2} v^{5})$
16510	Expand the Logarithmic Expression	log base a of square root of (x^6)/(p^5q^8)	$\log_{a} (\sqrt{\frac{x^{6}}{p^{5} q^{8}}})$
16511	Expand the Logarithmic Expression	log base b of square root of 7x	$\log_{b} (\sqrt{7 x})$
16512	Expand the Logarithmic Expression	log base b of square root of b^5	$\log_{b} (\sqrt{b^{5}})$
16513	Expand the Logarithmic Expression	log base x of 128	$\log_{x} (128)$
16514	Expand the Logarithmic Expression	log base t of h square root of h^2+g	$\log_{t} (h \sqrt{h^{2} + g})$
16515	Expand the Logarithmic Expression	log base x of 8	$\log_{x} (8)$
16516	Expand the Logarithmic Expression	log base x of 5	$\log_{x} (5)$
16517	Expand the Logarithmic Expression	2(3 natural log of x- natural log of x+1- natural log of x-1)	$2 (3 \ln (x) - \ln (x + 1) - \ln (x - 1))$
16518	Expand the Logarithmic Expression	log base m of 30x^2	$\log_{m} (30 x^{2})$
16519	Expand the Logarithmic Expression	log base b of yz^6	$\log_{b} (y z^{6})$
16520	Expand the Logarithmic Expression	log base b of 81	$\log_{b} (81)$
16521	Expand the Logarithmic Expression	log base b of 432	$\log_{b} (432)$
16522	Expand the Logarithmic Expression	natural log of ((9x)^2)/( fourth root of y^3)	$\ln (\frac{{(9 x)}^{2}}{\sqrt[4]{y^{3}}})$
16523	Expand the Logarithmic Expression	natural log of (e^6)/7	$\ln (\frac{e^{6}}{7})$
16524	Expand the Logarithmic Expression	natural log of (e^7)/2	$\ln (\frac{e^{7}}{2})$
16525	Expand the Logarithmic Expression	natural log of (x^2 square root of z)/(y^-3)	$\ln (\frac{x^{2} \sqrt{z}}{y^{- 3}})$
16526	Expand the Logarithmic Expression	natural log of (e^x)/(1+e^x)	$\ln (\frac{e^{x}}{1 + e^{x}})$
16527	Expand the Logarithmic Expression	natural log of 2/27	$\ln (\frac{2}{27})$
16528	Expand the Logarithmic Expression	natural log of 3125/9	$\ln (\frac{3125}{9})$
16529	Expand the Logarithmic Expression	natural log of (yx^4)/( square root of x-3)	$\ln (\frac{y x^{4}}{\sqrt{x - 3}})$
16530	Expand the Logarithmic Expression	natural log of ( cube root of y^3z^2)/(x^4)	$\ln (\frac{\sqrt[3]{y^{3} z^{2}}}{x^{4}})$
16531	Expand the Logarithmic Expression	natural log of (x^2)/(y^3)	$\ln (\frac{x^{2}}{y^{3}})$
16532	Expand the Logarithmic Expression	natural log of (x^2-16)/(x^4)	$\ln (\frac{x^{2} - 16}{x^{4}})$
16533	Expand the Logarithmic Expression	natural log of (xy^5)/( square root of z)	$\ln (\frac{x y^{5}}{\sqrt{z}})$
16534	Expand the Logarithmic Expression	2 natural log of x-1/2 natural log of x+5	$2 \ln (x - \frac{1}{2}) \ln (x + 5)$
16535	Expand the Logarithmic Expression	log base x of 27	$\log_{x} (27)$
16536	Expand the Logarithmic Expression	3( log base 6 of x+2 log base 6 of y-4 log base 6 of z)	$3 (\log_{6} (x) + 2 \log_{6} (y) - 4 \log_{6} (z))$
16537	Expand the Logarithmic Expression	natural log of (x^2+1)(x-1)	$\ln ((x^{2} + 1) (x - 1))$
16538	Convert to Logarithmic Form	p^k=3	$p^{k} = 3$
16539	Convert to Logarithmic Form	x^1.238=14.36	$x^{1.238} = 14.36$
16540	Convert to Logarithmic Form	e^x=19	$e^{x} = 19$
16541	Convert to Logarithmic Form	e^x=20	$e^{x} = 20$
16542	Convert to Logarithmic Form	e^x=5.1	$e^{x} = 5.1$
16543	Convert to Logarithmic Form	e^x=17	$e^{x} = 17$
16544	Convert to Logarithmic Form	e^x=18	$e^{x} = 18$
16545	Convert to Logarithmic Form	e^x=21	$e^{x} = 21$
16546	Convert to Logarithmic Form	e^m=3	$e^{m} = 3$
16547	Convert to Logarithmic Form	e^(-t)=4000	$e^{- t} = 4000$
16548	Convert to Logarithmic Form	e^(9x+7)=6	$e^{9 x + 7} = 6$
16549	Convert to Logarithmic Form	5e^(0.2x)=3	$5 e^{0.2 x} = 3$
16550	Convert to Logarithmic Form	-5+ square root of 25+4e^4=10.601	$- 5 + \sqrt{25 + 4 e^{4}} = 10.601$
16551	Convert to Logarithmic Form	A=Pe^(rt)	$A = P e^{r t}$
16552	Convert to Logarithmic Form	150=108.3e^(0.012t)	$150 = 108.3 e^{0.012 t}$
16553	Convert to Logarithmic Form	3e^(2x)=1	$3 e^{2 x} = 1$
16554	Convert to Logarithmic Form	e^(4x)=24	$e^{4 x} = 24$
16555	Convert to Logarithmic Form	e^(4x)=4e^x	$e^{4 x} = 4 e^{x}$
16556	Convert to Logarithmic Form	e^(4x+5)=5	$e^{4 x + 5} = 5$
16557	Convert to Logarithmic Form	e^(2x)=2e^x	$e^{2 x} = 2 e^{x}$
16558	Convert to Logarithmic Form	e^(2x+1)=1	$e^{2 x + 1} = 1$
16559	Convert to Logarithmic Form	e^(0.3x)=t	$e^{0.3 x} = t$
16560	Convert to Logarithmic Form	e^(0.5x)=t	$e^{0.5 x} = t$
16561	Convert to Logarithmic Form	e^(0.6x)=t	$e^{0.6 x} = t$
16562	Convert to Logarithmic Form	e^(0.4x)=t	$e^{0.4 x} = t$
16563	Convert to Logarithmic Form	8^x=512	$8^{x} = 512$
16564	Convert to Logarithmic Form	8^(3x)=360	$8^{3 x} = 360$
16565	Convert to Logarithmic Form	8^4=x	$8^{4} = x$
16566	Convert to Logarithmic Form	8^(4x)=4.2	$8^{4 x} = 4.2$
16567	Convert to Logarithmic Form	7^(3x)=20	$7^{3 x} = 20$
16568	Convert to Logarithmic Form	6^x=1296	$6^{x} = 1296$
16569	Convert to Logarithmic Form	9^(4x-16)=6561	$9^{4 x - 16} = 6561$
16570	Convert to Logarithmic Form	4^(1+2x)=64	$4^{1 + 2 x} = 64$
16571	Convert to Logarithmic Form	32^(3/5)=8	$32^{\frac{3}{5}} = 8$
16572	Convert to Logarithmic Form	4^x=17	$4^{x} = 17$
16573	Convert to Logarithmic Form	4^x=22	$4^{x} = 22$
16574	Convert to Logarithmic Form	4^x=3	$4^{x} = 3$
16575	Convert to Logarithmic Form	4^(x+7)=5	$4^{x + 7} = 5$
16576	Convert to Logarithmic Form	6^3=x	$6^{3} = x$
16577	Convert to Logarithmic Form	6^(3x)=3.7	$6^{3 x} = 3.7$
16578	Convert to Logarithmic Form	6^(1-9x)=7^x	$6^{1 - 9 x} = 7^{x}$
16579	Convert to Logarithmic Form	5^(x+1)=129	$5^{x + 1} = 129$
16580	Convert to Logarithmic Form	5^(2x)=625	$5^{2 x} = 625$
16581	Write in Exponential Form	natural log of 10=x	$\ln (10) = x$
16582	Write in Exponential Form	natural log of 11=x	$\ln (11) = x$
16583	Write in Exponential Form	natural log of e^-2=b	$\ln (e^{- 2}) = b$
16584	Write in Exponential Form	natural log of e^3=b	$\ln (e^{3}) = b$
16585	Write in Exponential Form	natural log of A=5	$\ln (A) = 5$
16586	Write in Exponential Form	natural log of x=10	$\ln (x) = 10$
16587	Write in Exponential Form	natural log of x+2- natural log of 4x+3 = natural log of 1/x	$\ln (x + 2) - \ln (4 x + 3) = \ln (\frac{1}{x})$
16588	Write in Exponential Form	natural log of x+5=7	$\ln (x + 5) = 7$
16589	Write in Exponential Form	natural log of x-6=8	$\ln (x - 6) = 8$
16590	Write in Exponential Form	natural log of x-7=2	$\ln (x - 7) = 2$
16591	Write in Exponential Form	natural log of y=7	$\ln (y) = 7$
16592	Write in Exponential Form	log of x=-1.1544	$\log (x) = - 1.1544$
16593	Write in Exponential Form	x = log base 7 of fifth root of 7	$x = \log_{7} (\sqrt[5]{7})$
16594	Write in Exponential Form	y = log base 5 of X	$y = \log_{5} (X)$
16595	Write in Exponential Form	y=- log base 3 of x+2	$y = - \log_{3} (x) + 2$
16596	Write in Exponential Form	y=8 log of x	$y = 8 \log (x)$
16597	Write in Exponential Form	log of 7x-12=2 log of x	$\log (7 x - 12) = 2 \log (x)$
16598	Write in Exponential Form	log of b=2x^2+5y^2	$\log (b) = 2 x^{2} + 5 y^{2}$
16599	Write in Exponential Form	natural log of y=9	$\ln (y) = 9$
16600	Convert to Logarithmic Form	14^4=x	$14^{4} = x$