What is the answer to 7^{5x-2}=14 ?

The answer to 7^{5x-2}=14 is x=(ln(686))/(5ln(7))

Solve for x: 7^{5x-2}=14

The solution is x=(ln(686))/(5ln(7))

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7^{5 x - 2} = 14

x = \frac{ln ( 686 )}{5 ln ( 7 )}

Decimal Notation

x = 0.67124 \dots

Solution steps

7^{5 x - 2} = 14

Apply exponent rules

(5 x - 2) ln (7) = ln (14)

Solve

(5 x - 2) ln (7) = ln (14) : x = \frac{ln ( 686 )}{5 ln ( 7 )}

x = \frac{ln ( 686 )}{5 ln ( 7 )}

3^{x} + 27 = 9^{x + 1} - 3^{5 x}

e^{x + 10} - 10 = - 42

\frac{1}{3 \cdot 3 ^{n}} = 3^{5}

3 = (1.12)^{t}

p, 2^{p} - 2^{q} = 2016

What is the answer to 7^{5x-2}=14 ?
The answer to 7^{5x-2}=14 is x=(ln(686))/(5ln(7))
Solve for x: 7^{5x-2}=14
The solution is x=(ln(686))/(5ln(7))