What is the answer to 5^x=60 ?

The answer to 5^x=60 is x=(ln(60))/(ln(5))

The solution is x=(ln(60))/(ln(5))

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5^x=60

5^{x} = 60

x = \frac{ln ( 60 )}{ln ( 5 )}

Decimal Notation

x = 2.54395 \dots

Solution steps

5^{x} = 60

Apply exponent rules

x ln (5) = ln (60)

Solve

x ln (5) = ln (60) : x = \frac{ln ( 60 )}{ln ( 5 )}

x = \frac{ln ( 60 )}{ln ( 5 )}

(\frac{1}{2})^{x - 1} = 32

4^{2 x + 5} = 64

y, 6^{3} x 6^{5} = x^{y}

x, e^{z x} = x yz

\frac{71}{3} = 3^{x}