What is the answer to 7^{5x+3}=512 ?

The answer to 7^{5x+3}=512 is x=(9ln(2)-3ln(7))/(5ln(7))

Solve for x: 7^{5x+3}=512

The solution is x=(9ln(2)-3ln(7))/(5ln(7))

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7^{5 x + 3} = 512

x = \frac{9 ln ( 2 ) - 3 ln ( 7 )}{5 ln ( 7 )}

Decimal Notation

x = 0.04117 \dots

Solution steps

7^{5 x + 3} = 512

Apply exponent rules

(5 x + 3) ln (7) = ln (512)

Solve

(5 x + 3) ln (7) = ln (512) : x = \frac{9 ln ( 2 ) - 3 ln ( 7 )}{5 ln ( 7 )}

x = \frac{9 ln ( 2 ) - 3 ln ( 7 )}{5 ln ( 7 )}

4^{d} = 8^{6}

2^{3 x + 2} = 32

x, x = e^{2 t}

9^{m - 6} = 78

e^{t + c}

What is the answer to 7^{5x+3}=512 ?
The answer to 7^{5x+3}=512 is x=(9ln(2)-3ln(7))/(5ln(7))
Solve for x: 7^{5x+3}=512
The solution is x=(9ln(2)-3ln(7))/(5ln(7))