Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
38501	Write in Exponential Form	2 log base b of 4+ log base b of 5- log base b of 10 = log base b of x	$2 \log_{b} (4) + \log_{b} (5) - \log_{b} (10) = \log_{b} (x)$
38502	Write in Exponential Form	2 log base x of x+4- log base 4 of x+12=1	$2 \log_{x} (x + 4) - \log_{4} (x + 12) = 1$
38503	Write in Exponential Form	2+ log base 2 of -4x=5	$2 + \log_{2} (- 4 x) = 5$
38504	Write in Exponential Form	2+ log base 3 of 3n=0	$2 + \log_{3} (3 n) = 0$
38505	Write in Exponential Form	2+6 natural log of x=38	$2 + 6 \ln (x) = 38$
38506	Write in Exponential Form	2 log base 5 of 3x=4	$2 \log_{5} (3 x) = 4$
38507	Write in Exponential Form	2 natural log of x-1 = natural log of 6x	$2 \ln (x - 1) = \ln (6 x)$
38508	Write in Exponential Form	2 natural log of x-2 = natural log of 7x	$2 \ln (x - 2) = \ln (7 x)$
38509	Write in Exponential Form	2 log of 2-x=-x	$2 \log (2 - x) = - x$
38510	Write in Exponential Form	2 log of 5(3x)=4	$2 \log (5) (3 x) = 4$
38511	Write in Exponential Form	2 log of x=4	$2 \log (x) = 4$
38512	Write in Exponential Form	2 log of x- log of 3=2	$2 \log (x) - \log (3) = 2$
38513	Write in Exponential Form	2 log of x- log of 3 = log of 108	$2 \log (x) - \log (3) = \log (108)$
38514	Write in Exponential Form	2 log of x- log of 9 = log of 441	$2 \log (x) - \log (9) = \log (441)$
38515	Write in Exponential Form	2 log of x-3+1=5	$2 \log (x - 3) + 1 = 5$
38516	Write in Exponential Form	2 log of x-3=4	$2 \log (x - 3) = 4$
38517	Write in Exponential Form	2x = log base 8 of 3.6	$2 x = \log_{8} (3.6)$
38518	Write in Exponential Form	2x = natural log of 16/49	$2 x = \ln (\frac{16}{49})$
38519	Write in Exponential Form	2x = log of 206	$2 x = \log (206)$
38520	Write in Exponential Form	2x-1 log of 5=152/4	$2 x - 1 \log (5) = \frac{152}{4}$
38521	Write in Exponential Form	-3.1 = log of X	$- 3.1 = \log (X)$
38522	Write in Exponential Form	3.6045 log of x = log of 0.56-3.4425	$3.6045 \log (x) = \log (0.56) - 3.4425$
38523	Write in Exponential Form	3.6-5 natural log of x+4=22	$3.6 - 5 \ln (x + 4) = 22$
38524	Write in Exponential Form	-3.7 = log of x	$- 3.7 = \log (x)$
38525	Write in Exponential Form	3 log base 2 of 5x=24	$3 \log_{2} (5 x) = 24$
38526	Write in Exponential Form	3 log base 2 of x+5=9	$3 \log_{2} (x + 5) = 9$
38527	Write in Exponential Form	3 log base 7 of 4+4 log base 7 of 16 = log base 77 of x	$3 \log_{7} (4) + 4 \log_{7} (16) = \log_{77} (x)$
38528	Write in Exponential Form	3 log base 8 of a-2=-2	$3 \log_{8} (a - 2) = - 2$
38529	Write in Exponential Form	3+5 natural log of x=12	$3 + 5 \ln (x) = 12$
38530	Write in Exponential Form	2 log of x = log of 25	$2 \log (x) = \log (25)$
38531	Expand the Logarithmic Expression	( log of A^2B^2)/( square root of c)	$\frac{\log (A^{2} B^{2})}{\sqrt{c}}$
38532	Expand the Logarithmic Expression	log of (a^4*b)^6	$\log ({(a^{4} \cdot b)}^{6})$
38533	Expand the Logarithmic Expression	( log of square root of x*(5 square root of y))/(z^14)	$\frac{\log (\sqrt{x} \cdot (5 \sqrt{y}))}{z^{14}}$
38534	Expand the Logarithmic Expression	( log of x/y)/( log of z/y)	$\frac{\log (\frac{x}{y})}{\log (\frac{z}{y})}$
38535	Expand the Logarithmic Expression	( log of x^2)/( log of 10y^3)	$\frac{\log (x^{2})}{\log (10 y^{3})}$
38536	Expand the Logarithmic Expression	log of (x^2*y^-3)^2	$\log ({(x^{2} \cdot y^{- 3})}^{2})$
38537	Expand the Logarithmic Expression	( log of x^2y^3)/(z^4)	$\frac{\log (x^{2} y^{3})}{z^{4}}$
38538	Expand the Logarithmic Expression	log of (x^6*y)^4	$\log ({(x^{6} \cdot y)}^{4})$
38539	Expand the Logarithmic Expression	log of (xy^5)^2	$\log ({(x y^{5})}^{2})$
38540	Expand the Logarithmic Expression	log of (xy^5)^3	$\log ({(x y^{5})}^{3})$
38541	Expand the Logarithmic Expression	log of (y/x)^2	$\log ({(\frac{y}{x})}^{2})$
38542	Expand the Logarithmic Expression	( log of y^3 square root of z)/(x^5)	$\frac{\log (y^{3} \sqrt{z})}{x^{5}}$
38543	Expand the Logarithmic Expression	log of (10)^(( square root of xy^3)/(z^4))	$\log ({(10)}^{\frac{\sqrt{x y^{3}}}{z^{4}}})$
38544	Expand the Logarithmic Expression	log of (10)^17.1	$\log ({(10)}^{17.1})$
38545	Expand the Logarithmic Expression	log of (10)^27.5	$\log ({(10)}^{27.5})$
38546	Expand the Logarithmic Expression	( log of 10 square root of z(x+5)^3)/(7 fifth root of x-2)	$\frac{\log (10 \sqrt{z} {(x + 5)}^{3})}{7 \sqrt[5]{x - 2}}$
38547	Expand the Logarithmic Expression	( log of 100x^3 cube root of 5-x)/(3(x+7)^2)	$\frac{\log (100 x^{3} \sqrt[3]{5 - x})}{3 {(x + 7)}^{2}}$
38548	Expand the Logarithmic Expression	log of (11)^(11x)	$\log ({(11)}^{11 x})$
38549	Expand the Logarithmic Expression	log of (12)^1048576	$\log ({(12)}^{1048576})$
38550	Expand the Logarithmic Expression	log of (13z)^6	$\log ({(13 z)}^{6})$
38551	Expand the Logarithmic Expression	( log of 14)/( log of 3)	$\frac{\log (14)}{\log (3)}$
38552	Expand the Logarithmic Expression	( log of 17)/( log of 6)	$\frac{\log (17)}{\log (6)}$
38553	Expand the Logarithmic Expression	log of (256)^4	$\log ({(256)}^{4})$
38554	Expand the Logarithmic Expression	log of (27)^(1/3)	$\log ({(27)}^{\frac{1}{3}})$
38555	Expand the Logarithmic Expression	log of (4x)^2	$\log ({(4 x)}^{2})$
38556	Expand the Logarithmic Expression	( log of 5)/( log of 1/3)	$\frac{\log (5)}{\log (\frac{1}{3})}$
38557	Expand the Logarithmic Expression	log of (5)^20	$\log ({(5)}^{20})$
38558	Expand the Logarithmic Expression	( natural log of 3)/( natural log of 81)	$\frac{\ln (3)}{\ln (81)}$
38559	Expand the Logarithmic Expression	natural log of (4x)^2+ natural log of 4-2	$\ln ({(4 x)}^{2}) + \ln (4) - 2$
38560	Expand the Logarithmic Expression	( natural log of 5)/( natural log of 3/8)	$\frac{\ln (5)}{\ln (\frac{3}{8})}$
38561	Expand the Logarithmic Expression	( natural log of 5x^6)/(11y^7)	$\frac{\ln (5 x^{6})}{11 y^{7}}$
38562	Expand the Logarithmic Expression	( natural log of 7)/( natural log of 6)	$\frac{\ln (7)}{\ln (6)}$
38563	Expand the Logarithmic Expression	( natural log of 8)/( natural log of 3)	$\frac{\ln (8)}{\ln (3)}$
38564	Expand the Logarithmic Expression	( natural log of 8)/( natural log of 9)	$\frac{\ln (8)}{\ln (9)}$
38565	Expand the Logarithmic Expression	( natural log of 39/16)/10	$\frac{\ln (\frac{39}{16})}{10}$
38566	Expand the Logarithmic Expression	( natural log of 7/27)/( natural log of 7/3)	$\frac{\ln (\frac{7}{27})}{\ln (\frac{7}{3})}$
38567	Expand the Logarithmic Expression	( natural log of a^3b^-2)/( natural log of (bc)^4)	$\frac{\ln (a^{3} b^{- 2})}{\ln ({(b c)}^{4})}$
38568	Expand the Logarithmic Expression	( natural log of a^-3b^-3)/( natural log of (bc)^3)	$\frac{\ln (a^{- 3} b^{- 3})}{\ln ({(b c)}^{3})}$
38569	Expand the Logarithmic Expression	natural log of ((x^2-x-12)/((x+7)^2))^(1/3)	$\ln ({(\frac{x^{2} - x - 12}{{(x + 7)}^{2}})}^{\frac{1}{3}})$
38570	Expand the Logarithmic Expression	e^( natural log of (5x)^5)	$e^{\ln ({(5 x)}^{5})}$
38571	Expand the Logarithmic Expression	log of (jk^2)^7	$\log ({(j k^{2})}^{7})$
38572	Expand the Logarithmic Expression	natural log of ((x^2-x-6)/((x+5)^3))^(1/2)	$\ln ({(\frac{x^{2} - x - 6}{{(x + 5)}^{3}})}^{\frac{1}{2}})$
38573	Expand the Logarithmic Expression	natural log of ((x^2-x-6)/((x+6)^4))^(1/3)	$\ln ({(\frac{x^{2} - x - 6}{{(x + 6)}^{4}})}^{\frac{1}{3}})$
38574	Expand the Logarithmic Expression	( natural log of square root of 3x-5)/7	$\frac{\ln (\sqrt{3 x - 5})}{7}$
38575	Expand the Logarithmic Expression	( natural log of cube root of x-1(3x-2)*4)/((x+1) square root of x-1)	$\frac{\ln (\sqrt[3]{x - 1 (3 x - 2) \cdot 4})}{(x + 1) \sqrt{x - 1}}$
38576	Expand the Logarithmic Expression	( natural log of x^2-9)/(x^5)	$\frac{\ln (x^{2} - 9)}{x^{5}}$
38577	Expand the Logarithmic Expression	natural log of (x^3e)^(2x)	$\ln ({(x^{3} e)}^{2 x})$
38578	Expand the Logarithmic Expression	natural log of (x^4*y)^2	$\ln ({(x^{4} \cdot y)}^{2})$
38579	Expand the Logarithmic Expression	natural log of ((x+2)/(yz^3))^2	$\ln ({(\frac{x + 2}{y z^{3}})}^{2})$
38580	Expand the Logarithmic Expression	natural log of ((x-2)/((x^2-4)^3))^(2/3)	$\ln ({(\frac{x - 2}{{(x^{2} - 4)}^{3}})}^{\frac{2}{3}})$
38581	Expand the Logarithmic Expression	( natural log of y^2z^3)/( square root of x-1)	$\frac{\ln (y^{2} z^{3})}{\sqrt{x - 1}}$
38582	Expand the Logarithmic Expression	( natural log of 100)/(100^2)	$\frac{\ln (100)}{100^{2}}$
38583	Expand the Logarithmic Expression	( natural log of -100)/( natural log of 50)	$\frac{\ln (- 100)}{\ln (50)}$
38584	Expand the Logarithmic Expression	( natural log of 100)/( natural log of 50)+1.5	$\frac{\ln (100)}{\ln (50)} + 1.5$
38585	Expand the Logarithmic Expression	( natural log of 17)/( natural log of 3)	$\frac{\ln (17)}{\ln (3)}$
38586	Expand the Logarithmic Expression	( natural log of 2)/0.02	$\frac{\ln (2)}{0.02}$
38587	Expand the Logarithmic Expression	( natural log of 2)/(12 natural log of 1.105/12)	$\frac{\ln (2)}{12 \ln (\frac{1.105}{12})}$
38588	Expand the Logarithmic Expression	( natural log of 2)/(4 natural log of 0.15)	$\frac{\ln (2)}{4 \ln (0.15)}$
38589	Expand the Logarithmic Expression	( natural log of 2)/( natural log of 1+0.12)	$\frac{\ln (2)}{\ln (1 + 0.12)}$
38590	Expand the Logarithmic Expression	( natural log of 2197)/(- natural log of 13+2 natural log of 14)	$\frac{\ln (2197)}{- \ln (13) + 2 \ln (14)}$
38591	Expand the Logarithmic Expression	( natural log of 22574+7)/3	$\frac{\ln (22574 + 7)}{3}$
38592	Expand the Logarithmic Expression	( natural log of 28)/( natural log of 2)+2	$\frac{\ln (28)}{\ln (2)} + 2$
38593	Expand the Logarithmic Expression	( natural log of 2y)/(-x)	$\frac{\ln (2 y)}{- x}$
38594	Expand the Logarithmic Expression	( natural log of 3)/( natural log of 1.15)	$\frac{\ln (3)}{\ln (1.15)}$
38595	Expand the Logarithmic Expression	e^21/2 natural log of 81/64	$e^{2} \cdot \frac{1}{2} \cdot \ln (\frac{81}{64})$
38596	Expand the Logarithmic Expression	e^2-9^( log of 9z)	$e^{2} - 9^{\log (9 z)}$
38597	Expand the Logarithmic Expression	e^( natural log of 7+ natural log of 3)	$e^{\ln (7) + \ln (3)}$
38598	Expand the Logarithmic Expression	e^(- natural log of cos(x))	$e^{- \ln (\cos (x))}$
38599	Expand the Logarithmic Expression	e^(x natural log of 5)	$e^{x \ln (5)}$
38600	Expand the Logarithmic Expression	( natural log of -0.15)/0.80	$\frac{\ln (- 0.15)}{0.8}$