What is the answer to 5^x=2 ?

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

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

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5^x=2

5^{x} = 2

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

Decimal Notation

x = 0.43067 \dots

Solution steps

5^{x} = 2

Apply exponent rules

x ln (5) = ln (2)

Solve

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

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

3 \cdot 4^{x} = 2^{3 x - 5}

x e^{x} = 0

4^{x} + 4^{1 - x} = 4

8^{x} \cdot 4^{x^{2} - 6} = 4

\frac{50}{4 + e ^{2 x}} = 11