What is the answer to 6^{m+5}=7 ?

The answer to 6^{m+5}=7 is m=(ln(7))/(ln(6))-5

Solve for m: 6^{m+5}=7

The solution is m=(ln(7))/(ln(6))-5

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6^{m + 5} = 7

m = \frac{ln ( 7 )}{ln ( 6 )} - 5

Decimal Notation

m = - 3.91396 \dots

Solution steps

6^{m + 5} = 7

Apply exponent rules

(m + 5) ln (6) = ln (7)

Solve

(m + 5) ln (6) = ln (7) : m = \frac{ln ( 7 )}{ln ( 6 )} - 5

m = \frac{ln ( 7 )}{ln ( 6 )} - 5

4^{x} = 1024

e^{x} = 18

2^{x - 1} = 2^{6}

ln (e^{2 + y}) = 9

1 0^{x + 3} = 6^{2 x}

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