What is the answer to 3^{5x-2}=6 ?

The answer to 3^{5x-2}=6 is x=(ln(54))/(5ln(3))

Solve for x: 3^{5x-2}=6

The solution is x=(ln(54))/(5ln(3))

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3^{5 x - 2} = 6

x = \frac{ln ( 54 )}{5 ln ( 3 )}

Decimal Notation

x = 0.72618 \dots

Solution steps

3^{5 x - 2} = 6

Apply exponent rules

(5 x - 2) ln (3) = ln (6)

Solve

(5 x - 2) ln (3) = ln (6) : x = \frac{ln ( 54 )}{5 ln ( 3 )}

x = \frac{ln ( 54 )}{5 ln ( 3 )}

4^{5 - 9 x} = \frac{1}{8 ^{x - 2}}

\frac{1}{2} = 4^{x}

225 e^{\frac{x}{4}} = 45

e^{x - 3} = 6

3^{2 x + 2} + 8 \cdot 3^{x} - 1 = 0

What is the answer to 3^{5x-2}=6 ?
The answer to 3^{5x-2}=6 is x=(ln(54))/(5ln(3))
Solve for x: 3^{5x-2}=6
The solution is x=(ln(54))/(5ln(3))