What is the answer to 2^x=3 ?

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

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

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2^x=3

2^{x} = 3

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

Decimal Notation

x = 1.58496 \dots

Solution steps

2^{x} = 3

Apply exponent rules

x ln (2) = ln (3)

Solve

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

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

9 x^{2} - 18 x + 8

\frac{x}{8} = \frac{8}{18}

40 - 2 (x + 5) = 3 (3 x + 1) - 17

d^{2} + 10 d + 24 = 0

9 h^{2} - 64