What is the answer to 2^n=40 ?

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

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

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2^n=40

2^{n} = 40

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

Decimal Notation

n = 5.32192 \dots

Solution steps

2^{n} = 40

Apply exponent rules

n ln (2) = ln (40)

Solve

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

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

3^{2 x + 5} = 81

e^{2 x} = e^{x} + 132

20 (1.07)^{x} = 8 (1.13)^{x}

7.9 (1.3)^{1.3 x} = 352

(1 + 0.06)^{x} = 4800000