What is the answer to 9^{m-6}=78 ?

The answer to 9^{m-6}=78 is m=(ln(78))/(2ln(3))+6

Solve for m: 9^{m-6}=78

The solution is m=(ln(78))/(2ln(3))+6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9^{m - 6} = 78

m = \frac{ln ( 78 )}{2 ln ( 3 )} + 6

Decimal Notation

m = 7.98282 \dots

Solution steps

9^{m - 6} = 78

Apply exponent rules

(m - 6) ln (9) = ln (78)

Solve

(m - 6) ln (9) = ln (78) : m = \frac{ln ( 78 )}{2 ln ( 3 )} + 6

m = \frac{ln ( 78 )}{2 ln ( 3 )} + 6

e^{t + c}

8^{x + 1} = \frac{1}{32}

8000 = 2 e^{0.7 x} + 3

8 1^{x} - 9^{x} - 12 = 0

3^{2 x - 1} = \frac{1}{9}

What is the answer to 9^{m-6}=78 ?
The answer to 9^{m-6}=78 is m=(ln(78))/(2ln(3))+6
Solve for m: 9^{m-6}=78
The solution is m=(ln(78))/(2ln(3))+6