What is the answer to 2^x=1.5 ?

The answer to 2^x=1.5 is x=(ln(1.5))/(ln(2))

The solution is x=(ln(1.5))/(ln(2))

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2^x=1.5

2^{x} = 1.5

x = \frac{ln ( 1.5 )}{ln ( 2 )}

Decimal Notation

x = 0.58496 \dots

Solution steps

2^{x} = 1.5

Apply exponent rules

x ln (2) = ln (1.5)

Solve

x ln (2) = ln (1.5) : x = \frac{ln ( 1.5 )}{ln ( 2 )}

x = \frac{ln ( 1.5 )}{ln ( 2 )}

4^{x} - 2^{x} - 12 = 0

2 7^{5 x - 4} = 8 1^{7 x - 2}

5^{x - 1} = 2 + \frac{3}{5 ^{x - 2}}

e^{3 x} - e^{2 (3 x)} = 0