What is the answer to 2(3)^{2x}=5 ?

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

Solve for x: 2(3)^{2x}=5

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

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2 (3)^{2 x} = 5

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

Decimal Notation

x = 0.41702 \dots

Solution steps

2 (3)^{2 x} = 5

Divide both sides by

2

3^{2 x} = \frac{5}{2}

Apply exponent rules

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

Solve

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

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

7^{2 x} - 8 \cdot 7^{x} + 7 = 0

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

8^{n} - 8^{n - 1} = 14

4^{x} = 0

4^{x} = 6

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