What is the answer to 14^x=8 ?

The answer to 14^x=8 is x=(3ln(2))/(ln(14))

The solution is x=(3ln(2))/(ln(14))

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14^x=8

1 4^{x} = 8

x = \frac{3 ln ( 2 )}{ln ( 14 )}

Decimal Notation

x = 0.78794 \dots

Solution steps

1 4^{x} = 8

Apply exponent rules

x ln (14) = ln (8)

Solve

x ln (14) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( 14 )}

x = \frac{3 ln ( 2 )}{ln ( 14 )}

2^{x} = 8^{(x - 1)}

3^{x + 5} = 1 7^{x}

- e^{- x} + 6 e^{- 6 x} = 0

2^{3 x} = 1 6^{1 - x}

5 \cdot 1 0^{2 x} = 1