What is the answer to 13^x=4 ?

The answer to 13^x=4 is x=(2ln(2))/(ln(13))

The solution is x=(2ln(2))/(ln(13))

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13^x=4

1 3^{x} = 4

x = \frac{2 ln ( 2 )}{ln ( 13 )}

Decimal Notation

x = 0.54047 \dots

Solution steps

1 3^{x} = 4

Apply exponent rules

x ln (13) = ln (4)

Solve

x ln (13) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 13 )}

x = \frac{2 ln ( 2 )}{ln ( 13 )}

4^{2 x} = 9^{x - 1}

3 \cdot 5^{x + 1} - 1 = 11

x, 2^{2 x} - 4^{x - 1} = 12

3^{2 x} - 3^{x + 2} + 8 = 0

e^{- 2 t} - 4 \cdot e^{- t} + 4 = 0