What is the answer to 6^x=3 ?

The answer to 6^x=3 is x=(ln(3))/(ln(6))

The solution is x=(ln(3))/(ln(6))

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6^x=3

6^{x} = 3

x = \frac{ln ( 3 )}{ln ( 6 )}

Decimal Notation

x = 0.61314 \dots

Solution steps

6^{x} = 3

Apply exponent rules

x ln (6) = ln (3)

Solve

x ln (6) = ln (3) : x = \frac{ln ( 3 )}{ln ( 6 )}

x = \frac{ln ( 3 )}{ln ( 6 )}

e^{x - 3} = 3

2 \cdot 3^{x} = 10

3^{2 x} = 15

2 e^{x} = 10

5^{3 x + 1} = 4^{x - 5}