What is the answer to 3^x=16 ?

The answer to 3^x=16 is x=(4ln(2))/(ln(3))

The solution is x=(4ln(2))/(ln(3))

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3^x=16

3^{x} = 16

x = \frac{4 ln ( 2 )}{ln ( 3 )}

Decimal Notation

x = 2.52371 \dots

Solution steps

3^{x} = 16

Apply exponent rules

x ln (3) = ln (16)

Solve

x ln (3) = ln (16) : x = \frac{4 ln ( 2 )}{ln ( 3 )}

x = \frac{4 ln ( 2 )}{ln ( 3 )}

3^{x} = 22

75 = 1 1^{x}

(\frac{1}{7})^{3 a + 3} = 34 3^{a - 1}

x, 3^{x} = 7^{y}

70 \cdot e^{\frac{x}{4}} = 0.1