What is the answer to 8^{x-6}=12 ?

The answer to 8^{x-6}=12 is x=(ln(12))/(3ln(2))+6

Solve for x: 8^{x-6}=12

The solution is x=(ln(12))/(3ln(2))+6

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8^{x - 6} = 12

x = \frac{ln ( 12 )}{3 ln ( 2 )} + 6

Decimal Notation

x = 7.19498 \dots

Solution steps

8^{x - 6} = 12

Apply exponent rules

(x - 6) ln (8) = ln (12)

Solve

(x - 6) ln (8) = ln (12) : x = \frac{ln ( 12 )}{3 ln ( 2 )} + 6

x = \frac{ln ( 12 )}{3 ln ( 2 )} + 6

e^{t^{2}} = e^{4 t - 3}

2^{x} = 3.6

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

2^{x} - 1 = 7

e^{x} - 21 e^{- x} = 4

What is the answer to 8^{x-6}=12 ?
The answer to 8^{x-6}=12 is x=(ln(12))/(3ln(2))+6
Solve for x: 8^{x-6}=12
The solution is x=(ln(12))/(3ln(2))+6