What is the answer to 2^n=9 ?

The answer to 2^n=9 is n=(2ln(3))/(ln(2))

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

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2^n=9

2^{n} = 9

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

Decimal Notation

n = 3.16992 \dots

Solution steps

2^{n} = 9

Apply exponent rules

n ln (2) = ln (9)

Solve

n ln (2) = ln (9) : n = \frac{2 ln ( 3 )}{ln ( 2 )}

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

2^{n} = 1

3 = (\frac{1}{3})^{x}

3^{x + 3} = 5^{x}

38. 5^{x} = 6. 5^{x - 2}

e^{x} = 9.9