What is the answer to 15(3)^{2x}=90 ?

The answer to 15(3)^{2x}=90 is x=(ln(6))/(2ln(3))

Solve for x: 15(3)^{2x}=90

The solution is x=(ln(6))/(2ln(3))

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15 (3)^{2 x} = 90

x = \frac{ln ( 6 )}{2 ln ( 3 )}

Decimal Notation

x = 0.81546 \dots

Solution steps

15 (3)^{2 x} = 90

Divide both sides by

15

3^{2 x} = 6

Apply exponent rules

2 x ln (3) = ln (6)

Solve

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

x = \frac{ln ( 6 )}{2 ln ( 3 )}

1 3^{\frac{1}{x} + 3} - 1 = 0

2^{3 x + 5} = \frac{1}{16}

3^{3} = 3^{4 x + 2}

2 e^{2 x} - 9 e^{x} + 4 = 0

512 = 1 \cdot 2^{n - 1}

What is the answer to 15(3)^{2x}=90 ?
The answer to 15(3)^{2x}=90 is x=(ln(6))/(2ln(3))
Solve for x: 15(3)^{2x}=90
The solution is x=(ln(6))/(2ln(3))