What is the answer to 4^x=9 ?

The answer to 4^x=9 is x=(ln(3))/(ln(2))

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

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4^x=9

4^{x} = 9

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

Decimal Notation

x = 1.58496 \dots

Solution steps

4^{x} = 9

Apply exponent rules

x ln (4) = ln (9)

Solve

x ln (4) = ln (9) : x = \frac{ln ( 3 )}{ln ( 2 )}

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

3^{3 x - 2} = 9^{4 x - 1}

12 5^{x} = 25

2^{x + 2} + 7 = \frac{1}{2 ^{x - 1}}

2^{- x} = 16

2^{x} = 15