What is the answer to 7^{m+6}=8 ?

The answer to 7^{m+6}=8 is m=(3ln(2))/(ln(7))-6

Solve for m: 7^{m+6}=8

The solution is m=(3ln(2))/(ln(7))-6

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7^{m + 6} = 8

m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

Decimal Notation

m = - 4.93137 \dots

Solution steps

7^{m + 6} = 8

Apply exponent rules

(m + 6) ln (7) = ln (8)

Solve

(m + 6) ln (7) = ln (8) : m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

m = \frac{3 ln ( 2 )}{ln ( 7 )} - 6

2 5^{x} = \frac{1}{125}

3^{2 x - 5} = 27

3^{x + 4} = 2^{x - 16}

t, 2 a^{\frac{t}{3}} = 5

5^{x + 5} = 1

What is the answer to 7^{m+6}=8 ?
The answer to 7^{m+6}=8 is m=(3ln(2))/(ln(7))-6
Solve for m: 7^{m+6}=8
The solution is m=(3ln(2))/(ln(7))-6