What is the answer to 5^x(3-5^x)=2 ?

The answer to 5^x(3-5^x)=2 is x=0,x=(ln(2))/(ln(5))

Solve for x: 5^x(3-5^x)=2

The solution is x=0,x=(ln(2))/(ln(5))

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5^{x} (3 - 5^{x}) = 2

x = 0, x = \frac{ln ( 2 )}{ln ( 5 )}

Solution steps

5^{x} (3 - 5^{x}) = 2

Rewrite the equation with

5^{x} = u

u (3 - u) = 2

Solve

u (3 - u) = 2 : u = 1, u = 2

u = 1, u = 2

Substitute back

u = 5^{x},

solve for

x

Solve

5^{x} = 1 : x = 0

Solve

5^{x} = 2 : x = \frac{ln ( 2 )}{ln ( 5 )}

x = 0, x = \frac{ln ( 2 )}{ln ( 5 )}

x^{l o g_{10} (x)} = 10000

9^{x} - 7 (3^{x}) = 18

2^{x} + 2^{- x} = 7

5^{x} = 9

x, e^{2 x} - 3 e^{x} + 2 = 0

What is the answer to 5^x(3-5^x)=2 ?
The answer to 5^x(3-5^x)=2 is x=0,x=(ln(2))/(ln(5))
Solve for x: 5^x(3-5^x)=2
The solution is x=0,x=(ln(2))/(ln(5))