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Popular Algebra Problems

solvefor x,e^x=-1/2	solvefor\:x,e^{x}=-\frac{1}{2}
81=27^{x+2}	81=27^{x+2}
128× 16^{2x+1}=8^{3-2x}	128\times\:16^{2x+1}=8^{3-2x}
solvefor y,x^x=y^y	solvefor\:y,x^{x}=y^{y}
(1/2)^x=128	(\frac{1}{2})^{x}=128
2^{2x-4}=8^4	2^{2x-4}=8^{4}
sqrt(16^{2x-2)}=2^{3x+3}	\sqrt{16^{2x-2}}=2^{3x+3}
(2× (-5))^{x^2-5x+4}=1	(2\times\:(-5))^{x^{2}-5x+4}=1
3^{3x+5}=3*9^{x+3}	3^{3x+5}=3\cdot\:9^{x+3}
9^x-10× 3^x+9=0	9^{x}-10\times\:3^{x}+9=0
125^{x+1}= 1/(\sqrt[3]{625)}	125^{x+1}=\frac{1}{\sqrt[3]{625}}
3^{x-5}-2=79	3^{x-5}-2=79
27^{2x}=243^{x-2}	27^{2x}=243^{x-2}
250000=50e^{1.827226683t}	250000=50e^{1.827226683t}
5^{x+1}=4^{2x-3}	5^{x+1}=4^{2x-3}
8^{2x+1}=105	8^{2x+1}=105
solvefor x,e^{x/2}=4lnx	solvefor\:x,e^{\frac{x}{2}}=4lnx
2^{-b}=1	2^{-b}=1
5^{5-x}= 1/25	5^{5-x}=\frac{1}{25}
solvefor x,3125^{x+4}=25^{2x}	solvefor\:x,3125^{x+4}=25^{2x}
7^y=15	7^{y}=15
3^{2x}-3(3^x)=4	3^{2x}-3(3^{x})=4
3^{x+1}=9^{x-2}	3^{x+1}=9^{x-2}
6e^{6x}-e^{-x}=0	6e^{6x}-e^{-x}=0
7^{3x-1}=49	7^{3x-1}=49
2.5^x=0.0087	2.5^{x}=0.0087
3^{x-1}+3^x+3^{x+1}=13	3^{x-1}+3^{x}+3^{x+1}=13
5000=2750e^{(0.08t)}	5000=2750e^{(0.08t)}
(2/3)^x× (9/8)^x= 27/64	(\frac{2}{3})^{x}\times\:(\frac{9}{8})^{x}=\frac{27}{64}
e^{12-5x}-7=123	e^{12-5x}-7=123
2^{6-x}= 1/8	2^{6-x}=\frac{1}{8}
64^{x+3}=256^{x+5}	64^{x+3}=256^{x+5}
6^x=28	6^{x}=28
2^x=32^{x-16}	2^{x}=32^{x-16}
2^{x-1}=0	2^{x-1}=0
-4e^{-4c}=(e^{-12}-1)/3	-4e^{-4c}=\frac{e^{-12}-1}{3}
9^x-3^{x+1}=54	9^{x}-3^{x+1}=54
19^x=2	19^{x}=2
7^{2x}+7^{x+1}-18=0	7^{2x}+7^{x+1}-18=0
e^{-2x}+6=5e^{-x}	e^{-2x}+6=5e^{-x}
5e^{-2t}=6	5e^{-2t}=6
solvefor m,5^n+5^n+5^n+5^n+5^n=5^m	solvefor\:m,5^{n}+5^{n}+5^{n}+5^{n}+5^{n}=5^{m}
3125^{x+4}=25^{2x-2}	3125^{x+4}=25^{2x-2}
5e^{0.01t}=2e^{0.02t}	5e^{0.01t}=2e^{0.02t}
49^{3x}= 1/343	49^{3x}=\frac{1}{343}
92*3^{4x}=27	92\cdot\:3^{4x}=27
(x)=2^{x+1}-3	(x)=2^{x+1}-3
4(2^x+2^{-x})=17	4(2^{x}+2^{-x})=17
6^{x+1}=216	6^{x+1}=216
roots x^6+5x^3+6	roots\:x^{6}+5x^{3}+6
(x-3)^4-8(x-3)^2-9=0	(x-3)^{4}-8(x-3)^{2}-9=0
x^9+x^6=36	x^{9}+x^{6}=36
ax^4+bx^2+c=0	ax^{4}+bx^{2}+c=0
x^5+5x^4-2x^3-10x^2+x+5=0	x^{5}+5x^{4}-2x^{3}-10x^{2}+x+5=0
(x-3)^4+(x-5)^4=20	(x-3)^{4}+(x-5)^{4}=20
roots x^3-6x^2+11x-6	roots\:x^{3}-6x^{2}+11x-6
10x^9=7x	10x^{9}=7x
10x^9-9x^{10}=0.75	10x^{9}-9x^{10}=0.75
(2z-i)^3=3sqrt(3)	(2z-i)^{3}=3\sqrt{3}
roots x^3+1	roots\:x^{3}+1
x^7-x^4-x^3+1=0	x^{7}-x^{4}-x^{3}+1=0
x^3-75x-250=0	x^{3}-75x-250=0
12x^3-3x^2=0	12x^{3}-3x^{2}=0
2x^4=9x^2	2x^{4}=9x^{2}
z^6-2z^3+2=0	z^{6}-2z^{3}+2=0
roots z^{10}=9^{10}	roots\:z^{10}=9^{10}
(x^2-7)^2-5(x^2-7)+6=0	(x^{2}-7)^{2}-5(x^{2}-7)+6=0
x^4=12	x^{4}=12
roots x^3-1	roots\:x^{3}-1
r^3-r^2-r+1=0	r^{3}-r^{2}-r+1=0
z^3-z^2-12z=0	z^{3}-z^{2}-12z=0
4x^3+2x-18=0	4x^{3}+2x-18=0
12n^2+48n=-n^3-64	12n^{2}+48n=-n^{3}-64
roots x^4+12x^3+54x^2+108x+81	roots\:x^{4}+12x^{3}+54x^{2}+108x+81
4x^4+35x^2-9=0	4x^{4}+35x^{2}-9=0
4x^3-12x^2-36x=0	4x^{3}-12x^{2}-36x=0
m^3-5m^2+3m+9=0	m^{3}-5m^{2}+3m+9=0
solvefor y,x^4+y^4=1	solvefor\:y,x^{4}+y^{4}=1
x^6-x^4+5x^2-5=0	x^{6}-x^{4}+5x^{2}-5=0
5w^3=50w	5w^{3}=50w
24x^2+4x^3=0	24x^{2}+4x^{3}=0
5x^4-6x^2=0	5x^{4}-6x^{2}=0
4x^3-18x^2=0	4x^{3}-18x^{2}=0
2y^3+6y=1	2y^{3}+6y=1
5x-17=-x^7	5x-17=-x^{7}
2x^4-4x^3=-2x^2	2x^{4}-4x^{3}=-2x^{2}
roots x^3	roots\:x^{3}
4r-3=3(3r^4)	4r-3=3(3r^{4})
6y^5-8y^3-2y+1=0	6y^{5}-8y^{3}-2y+1=0
(x^2+3)^3=0	(x^{2}+3)^{3}=0
x^5-10x^3+36x=0	x^{5}-10x^{3}+36x=0
12x^3+12x^2+6=0	12x^{3}+12x^{2}+6=0
4x^3-12x^2-11x-2=0	4x^{3}-12x^{2}-11x-2=0
x^5=64x^2	x^{5}=64x^{2}
-16x-4x^3=164	-16x-4x^{3}=164
20x^3+60x^2=0	20x^{3}+60x^{2}=0
2x^3-16x^2-40x=0	2x^{3}-16x^{2}-40x=0
x^3=-1000	x^{3}=-1000
z^4=-7+24i	z^{4}=-7+24i
4x^3-9x^2+6x=0	4x^{3}-9x^{2}+6x=0

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