What is the answer to 40=2^x ?

The answer to 40=2^x is x=(ln(40))/(ln(2))

The solution is x=(ln(40))/(ln(2))

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40=2^x

40 = 2^{x}

x = \frac{ln ( 40 )}{ln ( 2 )}

Decimal Notation

x = 5.32192 \dots

Solution steps

40 = 2^{x}

Apply exponent rules

ln (40) = x ln (2)

Solve

ln (40) = x ln (2) : x = \frac{ln ( 40 )}{ln ( 2 )}

x = \frac{ln ( 40 )}{ln ( 2 )}

5^{3 x + 1} = 6^{2 x + 1}

1^{x} = 1.2

e^{a^{5}} = 2.4

2 e^{a^{8}} - 8 = 64

5^{x} \cdot 5^{x + 4} = 25