What is the answer to 8^{5x-7}=6 ?

The answer to 8^{5x-7}=6 is x=(ln(6)+21ln(2))/(15ln(2))

Solve for x: 8^{5x-7}=6

The solution is x=(ln(6)+21ln(2))/(15ln(2))

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8^{5 x - 7} = 6

x = \frac{ln ( 6 ) + 21 ln ( 2 )}{15 ln ( 2 )}

Decimal Notation

x = 1.57233 \dots

Solution steps

8^{5 x - 7} = 6

Apply exponent rules

(5 x - 7) ln (8) = ln (6)

Solve

(5 x - 7) ln (8) = ln (6) : x = \frac{ln ( 6 ) + 21 ln ( 2 )}{15 ln ( 2 )}

x = \frac{ln ( 6 ) + 21 ln ( 2 )}{15 ln ( 2 )}

9 = (\frac{1}{3})^{- x}

2^{x + 3} = 8^{x - 2}

4^{- x} = 64

ln (e^{x}) = 2.5

0 = 3^{x}

What is the answer to 8^{5x-7}=6 ?
The answer to 8^{5x-7}=6 is x=(ln(6)+21ln(2))/(15ln(2))
Solve for x: 8^{5x-7}=6
The solution is x=(ln(6)+21ln(2))/(15ln(2))