What is the answer to solvefor x,e^{9x}=7e^{-x} ?

The answer to solvefor x,e^{9x}=7e^{-x} is x=(ln(7))/(10)

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solvefor x,e^{9x}=7e^{-x}

solve for

x, e^{9 x} = 7 e^{- x}

x = \frac{ln ( 7 )}{10}

Decimal Notation

x = 0.19459 \dots

Solution steps

e^{9 x} = 7 e^{- x}

Apply exponent rules

9 x = ln (7) - x

Solve

9 x = ln (7) - x : x = \frac{ln ( 7 )}{10}

x = \frac{ln ( 7 )}{10}

6^{x - 5} = 7

2 x^{2} e^{- x} = 18 e^{- x}

25 (5^{2 x}) + 99 (5^{x}) - 4 = 0

2^{2 x} + 2 x - 6 = 0

9 (2.3)^{3 x} = 18

What is the answer to solvefor x,e^{9x}=7e^{-x} ?
The answer to solvefor x,e^{9x}=7e^{-x} is x=(ln(7))/(10)