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Popular >

5e^{-3x}-4=6

Solution

5 e^{- 3 x} - 4 = 6

Solution

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

+1

Decimal Notation

x = - 0.23104 \dots

Solution steps

5 e^{- 3 x} - 4 = 6

Move

4

to the right side

5 e^{- 3 x} = 10

Divide both sides by

5

e^{- 3 x} = 2

Apply exponent rules

- 3 x = ln (2)

Solve

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

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

Popular Examples

1/(81^{(x-2))}=27^{(1-x)}

\frac{1}{8 1 ^{(x - 2)}} = 2 7^{(1 - x)}

e^{12x-1}=(e^{10})^x

e^{12 x - 1} = (e^{10})^{x}

3^{x} + x = 11

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

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

8^{x+1}+2^{3x-1}= 17/16

8^{x + 1} + 2^{3 x - 1} = \frac{17}{16}

Frequently Asked Questions (FAQ)

What is the answer to 5e^{-3x}-4=6 ?
The answer to 5e^{-3x}-4=6 is x=-(ln(2))/3