What is the answer to 3^{2x}=15 ?

The answer to 3^{2x}=15 is x=(ln(15))/(2ln(3))

Solve for x: 3^{2x}=15

The solution is x=(ln(15))/(2ln(3))

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3^{2 x} = 15

x = \frac{ln ( 15 )}{2 ln ( 3 )}

Decimal

x = 1.23248 \dots

Solution steps

3^{2 x} = 15

Apply exponent rules

2 x ln (3) = ln (15)

Solve

2 x ln (3) = ln (15) : x = \frac{ln ( 15 )}{2 ln ( 3 )}

x = \frac{ln ( 15 )}{2 ln ( 3 )}

2 e^{x} = 10

5^{3 x + 1} = 4^{x - 5}

3^{2 - x} = 400

2^{x^{2} + 2 x} = 8

5^{x} = 83

What is the answer to 3^{2x}=15 ?
The answer to 3^{2x}=15 is x=(ln(15))/(2ln(3))
Solve for x: 3^{2x}=15
The solution is x=(ln(15))/(2ln(3))