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Popular >

3e^{-5x-8}-4=9

Solution

3 e^{- 5 x - 8} - 4 = 9

Solution

x = - \frac{ln ( \frac{13}{3} ) + 8}{5}

+1

Solution steps

3 e^{- 5 x - 8} - 4 = 9

Move

4

to the right side

3 e^{- 5 x - 8} = 13

Divide both sides by

3

e^{- 5 x - 8} = \frac{13}{3}

Apply exponent rules

- 5 x - 8 = ln (\frac{13}{3})

Solve

- 5 x - 8 = ln (\frac{13}{3}) : x = - \frac{ln ( \frac{13}{3} ) + 8}{5}

x = - \frac{ln ( \frac{13}{3} ) + 8}{5}

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4^{x} - 3 \cdot 2^{x} - 4 = 0

Frequently Asked Questions (FAQ)

What is the answer to 3e^{-5x-8}-4=9 ?
The answer to 3e^{-5x-8}-4=9 is x=-(ln(13/3)+8)/5