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

The answer to 8^{x+6}=5^x is x=-(18ln(2))/(3ln(2)-ln(5))

Solve for x: 8^{x+6}=5^x

The solution is x=-(18ln(2))/(3ln(2)-ln(5))

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8^{x + 6} = 5^{x}

x = - \frac{18 ln ( 2 )}{3 ln ( 2 ) - ln ( 5 )}

Decimal Notation

x = - 26.54585 \dots

Solution steps

8^{x + 6} = 5^{x}

Apply exponent rules

(x + 6) ln (8) = x ln (5)

Solve

(x + 6) ln (8) = x ln (5) : x = - \frac{18 ln ( 2 )}{3 ln ( 2 ) - ln ( 5 )}

x = - \frac{18 ln ( 2 )}{3 ln ( 2 ) - ln ( 5 )}

\frac{16 e ^{4 x - 8}}{e ^{16} - 1} = 0

ln (e^{x}) = 2

3^{2 n - 4} = 1

x, 5^{(x + 1)} = 25

3^{4 x} = 2 7^{x - 3}

What is the answer to 8^{x+6}=5^x ?
The answer to 8^{x+6}=5^x is x=-(18ln(2))/(3ln(2)-ln(5))
Solve for x: 8^{x+6}=5^x
The solution is x=-(18ln(2))/(3ln(2)-ln(5))