What is the answer to 3^x=413 ?

The answer to 3^x=413 is x=(ln(413))/(ln(3))

The solution is x=(ln(413))/(ln(3))

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3^x=413

3^{x} = 413

x = \frac{ln ( 413 )}{ln ( 3 )}

Decimal Notation

x = 5.48277 \dots

Solution steps

3^{x} = 413

Apply exponent rules

x ln (3) = ln (413)

Solve

x ln (3) = ln (413) : x = \frac{ln ( 413 )}{ln ( 3 )}

x = \frac{ln ( 413 )}{ln ( 3 )}

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