What is the answer to 7^x=77 ?

The answer to 7^x=77 is x=(ln(77))/(ln(7))

The solution is x=(ln(77))/(ln(7))

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7^x=77

7^{x} = 77

x = \frac{ln ( 77 )}{ln ( 7 )}

Decimal Notation

x = 2.23227 \dots

Solution steps

7^{x} = 77

Apply exponent rules

x ln (7) = ln (77)

Solve

x ln (7) = ln (77) : x = \frac{ln ( 77 )}{ln ( 7 )}

x = \frac{ln ( 77 )}{ln ( 7 )}

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