What is the answer to 3^x=54 ?

The answer to 3^x=54 is x=(ln(54))/(ln(3))

The solution is x=(ln(54))/(ln(3))

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3^x=54

3^{x} = 54

x = \frac{ln ( 54 )}{ln ( 3 )}

Decimal Notation

x = 3.63092 \dots

Solution steps

3^{x} = 54

Apply exponent rules

x ln (3) = ln (54)

Solve

x ln (3) = ln (54) : x = \frac{ln ( 54 )}{ln ( 3 )}

x = \frac{ln ( 54 )}{ln ( 3 )}

3^{x} = 50

2^{x + 2} + 2^{x} = 2^{2}

3^{a} = - 1

3^{y} + 3^{y} + 2 = \frac{10}{3}

x, 2^{x + 1} \cdot 3^{y - 1} = (2 \cdot 3)^{5}