Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10601	Solve for x	-10^(6x)=-82	$- 10^{6 x} = - 82$
10602	Solve for x	10^x=21	$10^{x} = 21$
10603	Solve for x	10^x=4	$10^{x} = 4$
10604	Solve for x	10^x=2.9	$10^{x} = 2.9$
10605	Solve for x	(ax+b)/(cx+d)=3	$\frac{a x + b}{c x + d} = 3$
10606	Solve for x	10^x=6^(x-2)	$10^{x} = 6^{x - 2}$
10607	Solve for x	10^(2x-1)=0.01	$10^{2 x - 1} = 0.01$
10608	Solve for x	10^(-x)=11	$10^{- x} = 11$
10609	Solve for x	1/(x-1)+2=7/(x-1)	$\frac{1}{x - 1} + 2 = \frac{7}{x - 1}$
10610	Solve for x	(1+ natural log of x)/2=0	$\frac{1 + \ln (x)}{2} = 0$
10611	Solve for x	1/(x-8)-1=7/(x-8)	$\frac{1}{x - 8} - 1 = \frac{7}{x - 8}$
10612	Solve for x	1/(x-2)-1/(x-3)=-1/2	$\frac{1}{x - 2} - \frac{1}{x - 3} = - \frac{1}{2}$
10613	Solve for x	1/(x-2)+3/(x+3)=4/(x^2+x-6)	$\frac{1}{x - 2} + \frac{3}{x + 3} = \frac{4}{x^{2} + x - 6}$
10614	Solve for x	1/(x-3)+1/(x+4)=9/8	$\frac{1}{x - 3} + \frac{1}{x + 4} = \frac{9}{8}$
10615	Solve for x	10^(1-x)=4^x	$10^{1 - x} = 4^{x}$
10616	Solve for x	1/(x-1)+1/(x+2)=1/2	$\frac{1}{x - 1} + \frac{1}{x + 2} = \frac{1}{2}$
10617	Solve for x	10^(2x)+2(10^x)-15=0	$10^{2 x} + 2 (10^{x}) - 15 = 0$
10618	Solve for x	10^2=5^(x-4)	$10^{2} = 5^{x - 4}$
10619	Solve for x	10^(1-x)=7^x	$10^{1 - x} = 7^{x}$
10620	Solve for x	10^(1-x)=9^x	$10^{1 - x} = 9^{x}$
10621	Solve for x	1/9x-2/3=1-x/2	$\frac{1}{9} x - \frac{2}{3} = 1 - \frac{x}{2}$
10622	Solve for x	1/x-1/(x+1)=3	$\frac{1}{x} - \frac{1}{x + 1} = 3$
10623	Solve for x	1/x=4/x-1	$\frac{1}{x} = \frac{4}{x} - 1$
10624	Solve for x	1/(x+4)=1/(x^2+3x-4)+4/(x-1)	$\frac{1}{x + 4} = \frac{1}{x^{2} + 3 x - 4} + \frac{4}{x - 1}$
10625	Solve for x	1/7(x-1)+6/14=2+2/7(3x-1)	$\frac{1}{7} \cdot (x - 1) + \frac{6}{14} = 2 + \frac{2}{7} \cdot (3 x - 1)$
10626	Solve for x	1/x+1/(x-3)=(x-2)/(x-3)	$\frac{1}{x} + \frac{1}{x - 3} = \frac{x - 2}{x - 3}$
10627	Solve for x	1/3* log base 9 of x=2 log base 9 of 3	$\frac{1}{3} \cdot \log_{9} (x) = 2 \log_{9} (3)$
10628	Solve for x	1/8=4^(6x+2)	$\frac{1}{8} = 4^{6 x + 2}$
10629	Solve for x	-1/6*(px)=1	$- \frac{1}{6} \cdot (p x) = 1$
10630	Solve for x	1/4x+1/2=1/8x-1/3	$\frac{1}{4} x + \frac{1}{2} = \frac{1}{8} x - \frac{1}{3}$
10631	Solve for x	1/(2x+3)+1/(x-1)=1/((2x+3)(x-1))	$\frac{1}{2 x + 3} + \frac{1}{x - 1} = \frac{1}{(2 x + 3) (x - 1)}$
10632	Solve for x	1/3x=2/15	$\frac{1}{3} x = \frac{2}{15}$
10633	Solve for x	1/2* log base 3 of x=3 log base 3 of 11	$\frac{1}{2} \cdot \log_{3} (x) = 3 \log_{3} (11)$
10634	Solve for x	1/2=(x^2+2)/(x+4)	$\frac{1}{2} = \frac{x^{2} + 2}{x + 4}$
10635	Solve for x	1/2*\|19/4x-16/7\|=8/7	$\frac{1}{2} \cdot \| \frac{19}{4} x - \frac{16}{7} \| = \frac{8}{7}$
10636	Solve for x	1/2*e^(3x)=7/2	$\frac{1}{2} \cdot e^{3 x} = \frac{7}{2}$
10637	Solve for x	1/2* log base 2 of x=2 log base 2 of 4	$\frac{1}{2} \cdot \log_{2} (x) = 2 \log_{2} (4)$
10638	Solve for x	1/2* log base 5 of x=3 log base 5 of 5	$\frac{1}{2} \cdot \log_{5} (x) = 3 \log_{5} (5)$
10639	Solve for x	1/2* log base 5 of x+ log of 5=1	$\frac{1}{2} \cdot \log_{5} (x) + \log (5) = 1$
10640	Solve for x	1/2x-5/7=1-x/2	$\frac{1}{2} x - \frac{5}{7} = 1 - \frac{x}{2}$
10641	Solve for x	1/2x-5/7=1-x/3	$\frac{1}{2} x - \frac{5}{7} = 1 - \frac{x}{3}$
10642	Solve for x	1/2x-5/8=1-x/3	$\frac{1}{2} x - \frac{5}{8} = 1 - \frac{x}{3}$
10643	Solve for x	1/(2x)-1/(4x)=1/8	$\frac{1}{2 x} - \frac{1}{4 x} = \frac{1}{8}$
10644	Solve for x	1/(2x)+(6x-9)/(3x)=2/x	$\frac{1}{2 x} + \frac{6 x - 9}{3 x} = \frac{2}{x}$
10645	Solve for x	2^(x-3)=7	$2^{x - 3} = 7$
10646	Solve for x	24/(2x)+(24x)/5=4	$\frac{24}{2 x} + \frac{24 x}{5} = 4$
10647	Solve for x	25/( fourth root of 5^x)=(1/(125^x))	$\frac{25}{\sqrt[4]{5^{x}}} = (\frac{1}{125^{x}})$
10648	Solve for x	27^(2x+4)=9^(4x)	$27^{2 x + 4} = 9^{4 x}$
10649	Solve for x	27^(2x)=243	$27^{2 x} = 243$
10650	Solve for x	27^(2x-3)=3	$27^{2 x - 3} = 3$
10651	Solve for x	25^(x-2)-5^(x+3)=375	$25^{x - 2} - 5^{x + 3} = 375$
10652	Solve for x	2^x=33	$2^{x} = 33$
10653	Solve for x	2^(-x)=3.9	$2^{- x} = 3.9$
10654	Solve for x	2^(x+3)=7^x	$2^{x + 3} = 7^{x}$
10655	Solve for x	2^(x+1)=5^(2x)	$2^{x + 1} = 5^{2 x}$
10656	Solve for x	2^x=8(2^(-x))	$2^{x} = 8 (2^{- x})$
10657	Solve for x	2^(x-3)=1/8	$2^{x - 3} = \frac{1}{8}$
10658	Solve for x	20/(1+e^(-x))=2	$\frac{20}{1 + e^{- x}} = 2$
10659	Solve for x	3/(x^2-2x)+(2x-1)/(x^2+2x-8)=2/(x+4)	$\frac{3}{x^{2} - 2 x} + \frac{2 x - 1}{x^{2} + 2 x - 8} = \frac{2}{x + 4}$
10660	Solve for x	3/x+x/10=11/(2x)	$\frac{3}{x} + \frac{x}{10} = \frac{11}{2 x}$
10661	Solve for x	3/4=5/6x-4/5	$\frac{3}{4} = \frac{5}{6} x - \frac{4}{5}$
10662	Solve for x	3/40(x-1)-1/8=6/10-1/20(2x+2)	$\frac{3}{40} \cdot (x - 1) - \frac{1}{8} = \frac{6}{10} - \frac{1}{20} \cdot (2 x + 2)$
10663	Solve for x	(3x^2)/2+8=26/3	$\frac{3 x^{2}}{2} + 8 = \frac{26}{3}$
10664	Solve for x	(3x^2)/2=2(x-1)	$\frac{3 x^{2}}{2} = 2 (x - 1)$
10665	Solve for x	(3x^2+24x+48)/(x^2)+(x-6)/(2x^2)=1/(x^2)	$\frac{3 x^{2} + 24 x + 48}{x^{2}} + \frac{x - 6}{2 x^{2}} = \frac{1}{x^{2}}$
10666	Solve for x	3/(x^2)-50/x=17	$\frac{3}{x^{2}} - \frac{50}{x} = 17$
10667	Solve for x	3/2x+pi/2=pi	$\frac{3}{2} x + \frac{π}{2} = π$
10668	Solve for x	27^(x-1)=9^(x+1)	$27^{x - 1} = 9^{x + 1}$
10669	Solve for x	(2x)/(x-6)-1/(x+6)=27/(x^2-36)	$\frac{2 x}{x - 6} - \frac{1}{x + 6} = \frac{27}{x^{2} - 36}$
10670	Solve for x	(2x-1)/(x+2)=6/5	$\frac{2 x - 1}{x + 2} = \frac{6}{5}$
10671	Solve for x	(2x-3)/4+5=3x	$\frac{2 x - 3}{4} + 5 = 3 x$
10672	Solve for x	(2x+4)/2-(3x)/(x-2)=x	$\frac{2 x + 4}{2} - \frac{3 x}{x - 2} = x$
10673	Solve for x	27^(x-5)=9^(4x-3)	$27^{x - 5} = 9^{4 x - 3}$
10674	Solve for x	2/x-3/y=2	$\frac{2}{x} - \frac{3}{y} = 2$
10675	Solve for x	2/5x=1/3x+4	$\frac{2}{5} x = \frac{1}{3} x + 4$
10676	Solve for x	2/3x^2+3/2=0	$\frac{2}{3} x^{2} + \frac{3}{2} = 0$
10677	Solve for x	2/(3x)+1/4=11/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{11}{6 x} - \frac{1}{3}$
10678	Solve for x	2/x-1/(x+3)=14/(x^2+3x)	$\frac{2}{x} - \frac{1}{x + 3} = \frac{14}{x^{2} + 3 x}$
10679	Solve for x	2/(x+1)-1/(x-1)=(2x)/(x^2-1)	$\frac{2}{x + 1} - \frac{1}{x - 1} = \frac{2 x}{x^{2} - 1}$
10680	Solve for x	-2/(x-1)=(x-8)/(x+1)	$- \frac{2}{x - 1} = \frac{x - 8}{x + 1}$
10681	Solve for x	2^(5x-3)=16	$2^{5 x - 3} = 16$
10682	Solve for x	2/(x+5)+1/(x-5)=16/(x^2-25)	$\frac{2}{x + 5} + \frac{1}{x - 5} = \frac{16}{x^{2} - 25}$
10683	Solve for x	2/(x+6)=8/(x-6)	$\frac{2}{x + 6} = \frac{8}{x - 6}$
10684	Solve for x	2^(-100x)=(0.5)^(x-4)	$2^{- 100 x} = {(0.5)}^{x - 4}$
10685	Solve for x	2^(2x)+12(2^x)-64=0	$2^{2 x} + 12 (2^{x}) - 64 = 0$
10686	Solve for x	2^(x^2-2x)=8	$2^{x^{2} - 2 x} = 8$
10687	Solve for x	2^(2x)+2^x=12	$2^{2 x} + 2^{x} = 12$
10688	Solve for x	2^(-4x+1)=3^(2x-3)	$2^{- 4 x + 1} = 3^{2 x - 3}$
10689	Solve for x	2^(3+2x)=130	$2^{3 + 2 x} = 130$
10690	Solve for x	2^(2x)+2^(x+2)=12	$2^{2 x} + 2^{x + 2} = 12$
10691	Solve for x	2^x*5^x=100	$2^{x} \cdot 5^{x} = 100$
10692	Solve for x	2^x=3^(x+3)	$2^{x} = 3^{x + 3}$
10693	Solve for x	2^x=27	$2^{x} = 27$
10694	Solve for x	2^x=24	$2^{x} = 24$
10695	Solve for x	2^x=9^(x-9)	$2^{x} = 9^{x - 9}$
10696	Solve for x	2^(4x+3)=32^(2x-9)	$2^{4 x + 3} = 32^{2 x - 9}$
10697	Solve for x	2^(5x+1)=8	$2^{5 x + 1} = 8$
10698	Solve for x	2^(2x+1)=32	$2^{2 x + 1} = 32$
10699	Solve for x	2^(-50x)=(0.5)^(x-2)	$2^{- 50 x} = {(0.5)}^{x - 2}$
10700	Solve for x	2^(6-x)=4^(2+x)	$2^{6 - x} = 4^{2 + x}$