What is the answer to 5^x=9 ?

The answer to 5^x=9 is x=(2ln(3))/(ln(5))

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

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5^x=9

5^{x} = 9

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

Decimal Notation

x = 1.36521 \dots

Solution steps

5^{x} = 9

Apply exponent rules

x ln (5) = ln (9)

Solve

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

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

x, e^{2 x} - 3 e^{x} + 2 = 0

x - 2^{- x} = 0

x, e^{x y} + y = x - 1

2 e^{2 x} - e^{- x} = 0

4^{x} - 2^{x + 1} = 48