What is the answer to 2^a=3 ?

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

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

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2^a=3

2^{a} = 3

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

Decimal Notation

a = 1.58496 \dots

Solution steps

2^{a} = 3

Apply exponent rules

a ln (2) = ln (3)

Solve

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

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

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

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

5^{n} \cdot (\frac{1}{5})^{3} = 125

4^{l o g_{2} (2 x)} = 36

k^{x + 1} \cdot k^{x - 1} = k^{10}