What is the answer to 2^{5x-3}=10 ?

The answer to 2^{5x-3}=10 is x=(ln(80))/(5ln(2))

Solve for x: 2^{5x-3}=10

The solution is x=(ln(80))/(5ln(2))

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2^{5 x - 3} = 10

x = \frac{ln ( 80 )}{5 ln ( 2 )}

Decimal Notation

x = 1.26438 \dots

Solution steps

2^{5 x - 3} = 10

Apply exponent rules

(5 x - 3) ln (2) = ln (10)

Solve

(5 x - 3) ln (2) = ln (10) : x = \frac{ln ( 80 )}{5 ln ( 2 )}

x = \frac{ln ( 80 )}{5 ln ( 2 )}

\frac{e ^{x} - 2}{3} = e^{2 x} - 4

1 6^{x} = \frac{1}{64}

240 = 200 e^{x \cdot \frac{6}{12}}

(4^{x}) (4^{5}) = 4^{8}

2 5^{- x} = 5^{x + 7}

What is the answer to 2^{5x-3}=10 ?
The answer to 2^{5x-3}=10 is x=(ln(80))/(5ln(2))
Solve for x: 2^{5x-3}=10
The solution is x=(ln(80))/(5ln(2))