What is the answer to 16^x=3 ?

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

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

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16^x=3

1 6^{x} = 3

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

Decimal Notation

x = 0.39624 \dots

Solution steps

1 6^{x} = 3

Apply exponent rules

x ln (16) = ln (3)

Solve

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

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

\frac{9}{1 + e ^{- x}} = 3

4^{x} = 69

4^{x} = 63

3^{4 x - 2} = 2 7^{x + 4}

2^{3 x + 9} = 1 6^{3 x + 1}