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Problemas populares Álgebra

solvefor y= x/(e^x),x	solvefor\:y=\frac{x}{e^{x}},x
e^{x-3}=2^{x-1}	e^{x-3}=2^{x-1}
2(9^x)-7(3^x)+3=0	2(9^{x})-7(3^{x})+3=0
2^{2x}+2^x-20=0	2^{2x}+2^{x}-20=0
4^x-2*2^x+12=0	4^{x}-2\cdot\:2^{x}+12=0
solvefor x,7^{5x+7}=2	solvefor\:x,7^{5x+7}=2
\sqrt[3]{81^x}= 1/27	\sqrt[3]{81^{x}}=\frac{1}{27}
10*2^{x^2-4}=320	10\cdot\:2^{x^{2}-4}=320
12059=3675*(1.09)^x	12059=3675\cdot\:(1.09)^{x}
solvefor x,xe^{-2x}-2y=0	solvefor\:x,xe^{-2x}-2y=0
2(3)^x=34,log_{10}(x)	2(3)^{x}=34,\log_{10}(x)
9x27^x=27	9x27^{x}=27
79*10^{5x}=78	79\cdot\:10^{5x}=78
2^{2x}-3*2^x=4	2^{2x}-3\cdot\:2^{x}=4
e^{0.5x}=0.5	e^{0.5x}=0.5
(1/2)^x= 1/3	(\frac{1}{2})^{x}=\frac{1}{3}
3^{6+3x}= 1/27	3^{6+3x}=\frac{1}{27}
(343^3)^{5+2x}=(7^{3x})^2	(343^{3})^{5+2x}=(7^{3x})^{2}
e^{2x-6}=44.7	e^{2x-6}=44.7
n=2^{n/8}	n=2^{\frac{n}{8}}
208(1.04)^t=279(1.01)^t	208(1.04)^{t}=279(1.01)^{t}
15=A(1-e^{-k^2})	15=A(1-e^{-k^{2}})
36=18(16^{0.0125x})	36=18(16^{0.0125x})
1280=5(2^t)	1280=5(2^{t})
x^2e^{-x}=0	x^{2}e^{-x}=0
3^{2x+5}=(1/27)^{x-4}	3^{2x+5}=(\frac{1}{27})^{x-4}
2^x-15=17	2^{x}-15=17
e^{11x+1}=k	e^{11x+1}=k
9^{x-2}=3	9^{x-2}=3
25e^{-0.3x}=12	25e^{-0.3x}=12
3^x-(27/3)^x=26	3^{x}-(\frac{27}{3})^{x}=26
-22=e^{-10x}	-22=e^{-10x}
solvefor x,3(12)^{2x-1}-2=430	solvefor\:x,3(12)^{2x-1}-2=430
2(0.5^x)=2.737	2(0.5^{x})=2.737
16=2^{7x-5}	16=2^{7x-5}
3*5^{0.2x}=720	3\cdot\:5^{0.2x}=720
3^{2x}=7^{2x-1}	3^{2x}=7^{2x-1}
1.0075^x=1.251445278	1.0075^{x}=1.251445278
5*e^x=18	5\cdot\:e^{x}=18
7.01=3^{2x}-2.4	7.01=3^{2x}-2.4
solvefor x,y=1.0251e^{-0.418x}	solvefor\:x,y=1.0251e^{-0.418x}
e^{-(10)/x}=1	e^{-\frac{10}{x}}=1
(100)/(2^x)=6.25	\frac{100}{2^{x}}=6.25
9(4^x)= 9/(4^2)	9(4^{x})=\frac{9}{4^{2}}
(y-2)e^{((-(2))/((y)))}=0	(y-2)e^{(\frac{-(2)}{(y)})}=0
4^y=32	4^{y}=32
2^{6x+12}=8^{2x+4}	2^{6x+12}=8^{2x+4}
2^{x^2+7x-38}=64^{x-6}	2^{x^{2}+7x-38}=64^{x-6}
9^x=3^x+12	9^{x}=3^{x}+12
2000=8^x	2000=8^{x}
(-35)^x=1	(-35)^{x}=1
0.5=e^{-x/(0.2)}	0.5=e^{-\frac{x}{0.2}}
5^{x+1}=4^{2x-1}	5^{x+1}=4^{2x-1}
2^{-x}=4*8^{-x}	2^{-x}=4\cdot\:8^{-x}
(0.97)^x=0.5	(0.97)^{x}=0.5
solvefor y,x=4^{7^y}	solvefor\:y,x=4^{7^{y}}
\sqrt[9]{9}=9^x	\sqrt[9]{9}=9^{x}
(5^x)^2=625	(5^{x})^{2}=625
solvefor x,5^{x-6}=7	solvefor\:x,5^{x-6}=7
\sqrt[4]{\sqrt[3]{9}}=3^x	\sqrt[4]{\sqrt[3]{9}}=3^{x}
2^{x^2-x+3}=32	2^{x^{2}-x+3}=32
3^{2x+5}=7^x	3^{2x+5}=7^{x}
e^{4x}= 1/64	e^{4x}=\frac{1}{64}
7^{-3x}=11^{x+8}	7^{-3x}=11^{x+8}
3^x=-2in	3^{x}=-2in
7^{-x}=2	7^{-x}=2
2^{3y}-2^{2y}-2^{y+1}=0	2^{3y}-2^{2y}-2^{y+1}=0
solvefor x,ln(y)=e^x+ln(2)	solvefor\:x,\ln(y)=e^{x}+\ln(2)
solvefor u,y=x^u	solvefor\:u,y=x^{u}
9^{-x-4}=27	9^{-x-4}=27
3^{n+1}=2^n	3^{n+1}=2^{n}
[(-2/3)^2]^x=1	[(-\frac{2}{3})^{2}]^{x}=1
10^{14}=(10^{-9})(10^x)	10^{14}=(10^{-9})(10^{x})
77=15^x	77=15^{x}
e^{(ln(0.4))t}=0.7	e^{(\ln(0.4))t}=0.7
solvefor n,128=2^{n-1}	solvefor\:n,128=2^{n-1}
e^{x+3}=2	e^{x+3}=2
(1/2)^x=-4	(\frac{1}{2})^{x}=-4
2^x+2^x+2^x=192	2^{x}+2^{x}+2^{x}=192
(1/2)^{5-2x}=2^{5x-2}	(\frac{1}{2})^{5-2x}=2^{5x-2}
8^{2x-1}=4	8^{2x-1}=4
-2xe^{-2x}=0	-2xe^{-2x}=0
e^xc=0	e^{x}c=0
2000(1.04)^t=1000(1.08)^t	2000(1.04)^{t}=1000(1.08)^{t}
1/(10^3)=10^x	\frac{1}{10^{3}}=10^{x}
x^22^x-2^x7=0	x^{2}2^{x}-2^{x}7=0
5^{3-2x}=4(7^x)	5^{3-2x}=4(7^{x})
e^xx^2=0	e^{x}x^{2}=0
log_{5}(5^x)=2	\log_{5}(5^{x})=2
solvefor x,2^x+3^y=11	solvefor\:x,2^{x}+3^{y}=11
27^{6x-3}=81^{2x+3}	27^{6x-3}=81^{2x+3}
10(3^x)+1=5	10(3^{x})+1=5
2*7^{r-4}=7	2\cdot\:7^{r-4}=7
2^{2+x}+2^{2-x}=17	2^{2+x}+2^{2-x}=17
solvefor x,5^y=2^x+1	solvefor\:x,5^{y}=2^{x}+1
9^x-4sqrt(3)*3^{x-1}=0	9^{x}-4\sqrt{3}\cdot\:3^{x-1}=0
solvefor x,y=e^{x/b}	solvefor\:x,y=e^{\frac{x}{b}}
9^x=81*3^{x+2}	9^{x}=81\cdot\:3^{x+2}
8^{2x+1}=128	8^{2x+1}=128
5^{x-1}+5^{x+1}=26	5^{x-1}+5^{x+1}=26

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