What is the answer to 2^a=9 ?

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

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

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2^a=9

2^{a} = 9

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

Decimal Notation

a = 3.16992 \dots

Solution steps

2^{a} = 9

Apply exponent rules

a ln (2) = ln (9)

Solve

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

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

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

2^{3 x + 5} = 4^{x + 3}

x, p^{x - 2} = q^{x + 1}

4^{2 x + 5} = \frac{1}{64}

e^{x + 5} = e^{x} \cdot e^{5}