What is the answer to 6=5^x ?

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

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

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6=5^x

6 = 5^{x}

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

Decimal Notation

x = 1.11328 \dots

Solution steps

6 = 5^{x}

Apply exponent rules

ln (6) = x ln (5)

Solve

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

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

4 e^{4 x} - 4 = 0

3 \cdot 6^{x - 1} = 2 \cdot 3^{x + 2}

21 6^{x + 4} = (\frac{1}{36})^{x - 1}

C = 100 \cdot 2^{\frac{t}{15}}

1 2^{m + 3} = (\frac{1}{3})^{2 m}