What is the answer to 7^{3x-12}=8 ?

The answer to 7^{3x-12}=8 is x=(3ln(2)+12ln(7))/(3ln(7))

Solve for x: 7^{3x-12}=8

The solution is x=(3ln(2)+12ln(7))/(3ln(7))

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7^{3 x - 12} = 8

x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

Decimal Notation

x = 4.35620 \dots

Solution steps

7^{3 x - 12} = 8

Apply exponent rules

(3 x - 12) ln (7) = ln (8)

Solve

(3 x - 12) ln (7) = ln (8) : x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

x = \frac{3 ln ( 2 ) + 12 ln ( 7 )}{3 ln ( 7 )}

1 9^{x + 8} = 10

2^{2 x + 1} + 4 = 2^{x + 3} + 2^{x}

2 e^{3 x + 11} = 3

3 6^{5 x + 2} = (\frac{1}{6})^{11 - x}

(9 x)^{x} = 9^{3^{18}}

What is the answer to 7^{3x-12}=8 ?
The answer to 7^{3x-12}=8 is x=(3ln(2)+12ln(7))/(3ln(7))
Solve for x: 7^{3x-12}=8
The solution is x=(3ln(2)+12ln(7))/(3ln(7))