What is the answer to 7^x=14 ?

The answer to 7^x=14 is x=(ln(14))/(ln(7))

The solution is x=(ln(14))/(ln(7))

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7^x=14

7^{x} = 14

x = \frac{ln ( 14 )}{ln ( 7 )}

Decimal Notation

x = 1.35620 \dots

Solution steps

7^{x} = 14

Apply exponent rules

x ln (7) = ln (14)

Solve

x ln (7) = ln (14) : x = \frac{ln ( 14 )}{ln ( 7 )}

x = \frac{ln ( 14 )}{ln ( 7 )}

1 5^{- 3} \cdot 1 5^{b} = 1 5^{- 5}

5^{x - 1} = 3

x, x y = e^{2 x + y}

6 4^{x - 1} = 1 6^{2 x - 2}

14 (2 + e^{- x})^{- 1} = 3