What is the answer to 2^x=27 ?

The answer to 2^x=27 is x=(3ln(3))/(ln(2))

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

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2^x=27

2^{x} = 27

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

Decimal Notation

x = 4.75488 \dots

Solution steps

2^{x} = 27

Apply exponent rules

x ln (2) = ln (27)

Solve

x ln (2) = ln (27) : x = \frac{3 ln ( 3 )}{ln ( 2 )}

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

2^{x} = 19

57 = 2 1^{x}

e^{6 x} = 2

e^{y - 9} = 6

2 e^{\frac{t}{2}} = 0