What is the answer to 3^{5x-4}=6 ?

The answer to 3^{5x-4}=6 is x=(ln(486))/(5ln(3))

Solve for x: 3^{5x-4}=6

The solution is x=(ln(486))/(5ln(3))

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3^{5 x - 4} = 6

x = \frac{ln ( 486 )}{5 ln ( 3 )}

Decimal Notation

x = 1.12618 \dots

Solution steps

3^{5 x - 4} = 6

Apply exponent rules

(5 x - 4) ln (3) = ln (6)

Solve

(5 x - 4) ln (3) = ln (6) : x = \frac{ln ( 486 )}{5 ln ( 3 )}

x = \frac{ln ( 486 )}{5 ln ( 3 )}

5^{5 x + 7} = 12 5^{x + 3}

\frac{62 5 ^{c - 3}}{125} = 5^{4}

100 = 1 0^{x}

3^{x} = - 27

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

What is the answer to 3^{5x-4}=6 ?
The answer to 3^{5x-4}=6 is x=(ln(486))/(5ln(3))
Solve for x: 3^{5x-4}=6
The solution is x=(ln(486))/(5ln(3))