What is the answer to 3^x=60 ?

The answer to 3^x=60 is x=(ln(60))/(ln(3))

The solution is x=(ln(60))/(ln(3))

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3^x=60

3^{x} = 60

x = \frac{ln ( 60 )}{ln ( 3 )}

Decimal Notation

x = 3.72683 \dots

Solution steps

3^{x} = 60

Apply exponent rules

x ln (3) = ln (60)

Solve

x ln (3) = ln (60) : x = \frac{ln ( 60 )}{ln ( 3 )}

x = \frac{ln ( 60 )}{ln ( 3 )}

4^{x^{2} - 6 x} = 16384

4^{x^{2}} = 2^{x}

n, (x^{3})^{3} = x^{n}

e^{7 x} = 3^{4 x - 1}

\frac{5 ^{x} - 5 ^{- x}}{2} = 3