What is the answer to 5^x=13 ?

The answer to 5^x=13 is x=(ln(13))/(ln(5))

The solution is x=(ln(13))/(ln(5))

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5^x=13

5^{x} = 13

x = \frac{ln ( 13 )}{ln ( 5 )}

Decimal Notation

x = 1.59369 \dots

Solution steps

5^{x} = 13

Apply exponent rules

x ln (5) = ln (13)

Solve

x ln (5) = ln (13) : x = \frac{ln ( 13 )}{ln ( 5 )}

x = \frac{ln ( 13 )}{ln ( 5 )}

8 e^{- x} - e^{x} = 2

3^{x + 1} + 3^{x} + 3^{x - 1} = 39

e^{- 9 x} = - 3

2^{2 - x} - 2^{x} = - 3

2^{x^{2} - 3 x} = 16