What is the answer to 5^{2x+1}=9 ?

The answer to 5^{2x+1}=9 is x=(2ln(3)-ln(5))/(2ln(5))

Solve for x: 5^{2x+1}=9

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

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5^{2 x + 1} = 9

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

Decimal Notation

x = 0.18260 \dots

Solution steps

5^{2 x + 1} = 9

Apply exponent rules

(2 x + 1) ln (5) = ln (9)

Solve

(2 x + 1) ln (5) = ln (9) : x = \frac{2 ln ( 3 ) - ln ( 5 )}{2 ln ( 5 )}

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

2^{n} = 20

x, 2^{x - 1} = 31

4^{x} - 2^{x + 3} + 12 = 0

2^{x + 3} - 2^{x} = 56

a^{x} = 2

What is the answer to 5^{2x+1}=9 ?
The answer to 5^{2x+1}=9 is x=(2ln(3)-ln(5))/(2ln(5))
Solve for x: 5^{2x+1}=9
The solution is x=(2ln(3)-ln(5))/(2ln(5))