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Popular >

-6+10e^{-2x}=9

Solution

- 6 + 10 e^{- 2 x} = 9

Solution

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

+1

Decimal Notation

x = - 0.20273 \dots

Solution steps

- 6 + 10 e^{- 2 x} = 9

Move

6

to the right side

10 e^{- 2 x} = 15

Divide both sides by

10

e^{- 2 x} = \frac{3}{2}

Apply exponent rules

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

Solve

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

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

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2^{x + 3} + 4^{x + 1} - 320 = 0

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(sqrt(2))^{3x-1}=32

(2)^{3 x - 1} = 32

3^{(x^2+4x)}= 1/27

3^{(x^{2} + 4 x)} = \frac{1}{27}

Frequently Asked Questions (FAQ)

What is the answer to -6+10e^{-2x}=9 ?
The answer to -6+10e^{-2x}=9 is x=-(ln(3/2))/2