What is the answer to 3^x=29 ?

The answer to 3^x=29 is x=(ln(29))/(ln(3))

The solution is x=(ln(29))/(ln(3))

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3^x=29

3^{x} = 29

x = \frac{ln ( 29 )}{ln ( 3 )}

Decimal Notation

x = 3.06504 \dots

Solution steps

3^{x} = 29

Apply exponent rules

x ln (3) = ln (29)

Solve

x ln (3) = ln (29) : x = \frac{ln ( 29 )}{ln ( 3 )}

x = \frac{ln ( 29 )}{ln ( 3 )}

5 e^{- 0.002 x} = 140

1 0^{0.3 x} = 588

3 e^{t} - 2 t = 10

e^{x} (x^{2} - 1) = 0

5^{2 x - 3} = 125