What is the answer to 14^x=3 ?

The answer to 14^x=3 is x=(ln(3))/(ln(14))

The solution is x=(ln(3))/(ln(14))

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14^x=3

1 4^{x} = 3

x = \frac{ln ( 3 )}{ln ( 14 )}

Decimal Notation

x = 0.41628 \dots

Solution steps

1 4^{x} = 3

Apply exponent rules

x ln (14) = ln (3)

Solve

x ln (14) = ln (3) : x = \frac{ln ( 3 )}{ln ( 14 )}

x = \frac{ln ( 3 )}{ln ( 14 )}

12.5 = 15 (1 - e^{- k (30)})

2800 = 4000 - 3000 e^{5 k}

3^{x + 4} = 6^{2 x - 5}

5 (2^{x}) = 4

x, 3^{8 x} = 4^{- x - 7}