What is the answer to 7^{3x-2}=11 ?

The answer to 7^{3x-2}=11 is x=(ln(539))/(3ln(7))

Solve for x: 7^{3x-2}=11

The solution is x=(ln(539))/(3ln(7))

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7^{3 x - 2} = 11

x = \frac{ln ( 539 )}{3 ln ( 7 )}

Solution steps

7^{3 x - 2} = 11

Apply exponent rules

(3 x - 2) ln (7) = ln (11)

Solve

(3 x - 2) ln (7) = ln (11) : x = \frac{ln ( 539 )}{3 ln ( 7 )}

x = \frac{ln ( 539 )}{3 ln ( 7 )}

4^{x} = 11

4^{x} = 10

6 4^{x} = 51 2^{x - 5}

b^{x - 1} \cdot b^{x + 1} = b^{8}

36 \cdot 6^{2 x + 6} = 6^{x^{2}}

What is the answer to 7^{3x-2}=11 ?
The answer to 7^{3x-2}=11 is x=(ln(539))/(3ln(7))
Solve for x: 7^{3x-2}=11
The solution is x=(ln(539))/(3ln(7))