What is the answer to 5^x=16 ?

The answer to 5^x=16 is x=(4ln(2))/(ln(5))

The solution is x=(4ln(2))/(ln(5))

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5^x=16

5^{x} = 16

x = \frac{4 ln ( 2 )}{ln ( 5 )}

Decimal Notation

x = 1.72270 \dots

Solution steps

5^{x} = 16

Apply exponent rules

x ln (5) = ln (16)

Solve

x ln (5) = ln (16) : x = \frac{4 ln ( 2 )}{ln ( 5 )}

x = \frac{4 ln ( 2 )}{ln ( 5 )}

e^{x} + 15 e^{- x} - 8 = 0

3^{x - 9} = 8 1^{5 x + 1}

3^{1 - 2 x} = 243

2^{x} + 2^{x + 1} = \frac{3}{2}

3^{2 x + 1} - 26 (3^{x}) - 9 = 0