What is the answer to 2^x= 3/2 ?

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

Solve for x: 2^x= 3/2

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

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2^{x} = \frac{3}{2}

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

Decimal Notation

x = 0.58496 \dots

Solution steps

2^{x} = \frac{3}{2}

Apply exponent rules

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

Solve

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

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

4^{20} + 4^{20} = 2^{x}

x e^{x} = 1

3^{4 - 2 x} = \frac{1}{2 7 ^{x - 1}}

2^{- x} = x

6^{2 - x} = 4^{3 x}