What is the answer to 5^x=120 ?

The answer to 5^x=120 is x=(ln(120))/(ln(5))

The solution is x=(ln(120))/(ln(5))

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5^x=120

5^{x} = 120

x = \frac{ln ( 120 )}{ln ( 5 )}

Decimal

x = 2.97463 \dots

Solution steps

5^{x} = 120

Apply exponent rules

x ln (5) = ln (120)

Solve

x ln (5) = ln (120) : x = \frac{ln ( 120 )}{ln ( 5 )}

x = \frac{ln ( 120 )}{ln ( 5 )}

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