What is the answer to 3^{5x}=12 ?

The answer to 3^{5x}=12 is x=(ln(12))/(5ln(3))

Solve for x: 3^{5x}=12

The solution is x=(ln(12))/(5ln(3))

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3^{5 x} = 12

x = \frac{ln ( 12 )}{5 ln ( 3 )}

Decimal Notation

x = 0.45237 \dots

Solution steps

3^{5 x} = 12

Apply exponent rules

5 x ln (3) = ln (12)

Solve

5 x ln (3) = ln (12) : x = \frac{ln ( 12 )}{5 ln ( 3 )}

x = \frac{ln ( 12 )}{5 ln ( 3 )}

9^{3 x - 12} = (3)^{2 x}

3^{2 x + 1} = 2 7^{x + 2}

(\frac{1}{9})^{x - 5} = 27

5 = 1 5^{2 - 0.01 q}

x, 2 e^{x} + 5 = 3 e^{- x}

What is the answer to 3^{5x}=12 ?
The answer to 3^{5x}=12 is x=(ln(12))/(5ln(3))
Solve for x: 3^{5x}=12
The solution is x=(ln(12))/(5ln(3))