What is the answer to 23*3^{2x}=115 ?

The answer to 23*3^{2x}=115 is x=(ln(5))/(2ln(3))

Solve for x: 23*3^{2x}=115

The solution is x=(ln(5))/(2ln(3))

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23 \cdot 3^{2 x} = 115

x = \frac{ln ( 5 )}{2 ln ( 3 )}

Decimal Notation

x = 0.73248 \dots

Solution steps

23 \cdot 3^{2 x} = 115

Divide both sides by

23

3^{2 x} = 5

Apply exponent rules

2 x ln (3) = ln (5)

Solve

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

x = \frac{ln ( 5 )}{2 ln ( 3 )}

(3^{x})^{3} = 2 7^{x}

\frac{( 2 ^{n} )}{n + 1} = 51.2

8^{x - 9} = (\frac{1}{2})^{x + 1}

3^{5 x} = 12

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

What is the answer to 23*3^{2x}=115 ?
The answer to 23*3^{2x}=115 is x=(ln(5))/(2ln(3))
Solve for x: 23*3^{2x}=115
The solution is x=(ln(5))/(2ln(3))