What is the answer to 3^x=6 ?

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

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

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3^x=6

3^{x} = 6

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

Decimal Notation

x = 1.63092 \dots

Solution steps

3^{x} = 6

Apply exponent rules

x ln (3) = ln (6)

Solve

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

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

3^{x} = 5

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

9^{x} - 2 \cdot 3^{x + 2} + 81 = 0

\frac{( 2 ^{x} )}{( 2 ^{3 x} )} = \frac{1}{64}

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