What is the answer to 3125=2^x ?

The answer to 3125=2^x is x=(5ln(5))/(ln(2))

Solve for x: 3125=2^x

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

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3125 = 2^{x}

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

Decimal Notation

x = 11.60964 \dots

Solution steps

3125 = 2^{x}

Apply exponent rules

ln (3125) = x ln (2)

Solve

ln (3125) = x ln (2) : x = \frac{5 ln ( 5 )}{ln ( 2 )}

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

3^{5 x - 1} = 8

2^{2 + y} - 2^{1 + y} = 16

66.1 = 120 - 120 e^{k (0.5)}

0 = 0.9 8^{X}

4^{x + 4} = 5^{x}