What is the answer to 5=6^x ?

The answer to 5=6^x is x=(ln(5))/(ln(6))

The solution is x=(ln(5))/(ln(6))

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5=6^x

5 = 6^{x}

x = \frac{ln ( 5 )}{ln ( 6 )}

Solution steps

5 = 6^{x}

Apply exponent rules

ln (5) = x ln (6)

Solve

ln (5) = x ln (6) : x = \frac{ln ( 5 )}{ln ( 6 )}

x = \frac{ln ( 5 )}{ln ( 6 )}

ln (e^{x}) = 1

2 e^{3 x} = 4 e^{5 x}

4^{x} - 10 \cdot 2^{x} + 16 = 0

3^{x} = 6^{x^{2}}

2^{x + 1} = \frac{1}{4}