What is the answer to 3=2^{5x} ?

The answer to 3=2^{5x} is x=(ln(3))/(5ln(2))

Solve for x: 3=2^{5x}

The solution is x=(ln(3))/(5ln(2))

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3 = 2^{5 x}

x = \frac{ln ( 3 )}{5 ln ( 2 )}

Decimal Notation

x = 0.31699 \dots

Solution steps

3 = 2^{5 x}

Apply exponent rules

ln (3) = 5 x ln (2)

Solve

ln (3) = 5 x ln (2) : x = \frac{ln ( 3 )}{5 ln ( 2 )}

x = \frac{ln ( 3 )}{5 ln ( 2 )}

7^{2 x} = 49

2^{2 x + 1} + 2^{x} - 3 = 0

\frac{1}{2} = e^{x}

4 e^{x} = 1