What is the answer to 5=2^x ?

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

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

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5=2^x

5 = 2^{x}

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

Decimal Notation

x = 2.32192 \dots

Solution steps

5 = 2^{x}

Apply exponent rules

ln (5) = x ln (2)

Solve

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

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

4^{2 x - 1} = 8^{x + 3}

3^{x + 2} = 7

3^{x} = (\frac{1}{3})^{x + 1}

8 1^{x - 1} = 2 7^{x}

4^{x} - 3 \cdot 2^{x + 1} + 8 = 0