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

The answer to 5^{x+7}=8 is x=(3ln(2))/(ln(5))-7

Solve for x: 5^{x+7}=8

The solution is x=(3ln(2))/(ln(5))-7

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5^{x + 7} = 8

x = \frac{3 ln ( 2 )}{ln ( 5 )} - 7

Decimal Notation

x = - 5.70797 \dots

Solution steps

5^{x + 7} = 8

Apply exponent rules

(x + 7) ln (5) = ln (8)

Solve

(x + 7) ln (5) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 5 )} - 7

x = \frac{3 ln ( 2 )}{ln ( 5 )} - 7

3^{x} = \frac{9 ^{4}}{2 7 ^{3}}

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

2^{x} + 4^{x} = 2

0.067 = 1 0^{- 15} \cdot 3^{m}

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

What is the answer to 5^{x+7}=8 ?
The answer to 5^{x+7}=8 is x=(3ln(2))/(ln(5))-7
Solve for x: 5^{x+7}=8
The solution is x=(3ln(2))/(ln(5))-7