en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(18)/(e^x+3)=5

Solution

\frac{18}{e ^{x} + 3} = 5

Solution

x = ln (\frac{3}{5})

+1

Decimal Notation

x = - 0.51082 \dots

Solution steps

\frac{18}{e ^{x} + 3} = 5

Multiply both sides by

e^{x} + 3

\frac{18}{e ^{x} + 3} (e^{x} + 3) = 5 (e^{x} + 3)

Simplify

18 = 5 (e^{x} + 3)

Switch sides

5 (e^{x} + 3) = 18

Divide both sides by

5

e^{x} + 3 = \frac{18}{5}

Move

3

to the right side

e^{x} = \frac{3}{5}

Apply exponent rules

x = ln (\frac{3}{5})

Verify Solutions:

x = ln (\frac{3}{5})

True

The solution is

x = ln (\frac{3}{5})

Popular Examples

5^{x - 2} = \frac{1}{125}

2^{x} - 2 = 14

\frac{1}{2 ^{x - 3}} = 64

5=5e^{-x}-5xe^{-x}

5 = 5 e^{- x} - 5 x e^{- x}

10^{7x+35}=10^{2x+5}

1 0^{7 x + 35} = 1 0^{2 x + 5}

Frequently Asked Questions (FAQ)

What is the answer to (18)/(e^x+3)=5 ?
The answer to (18)/(e^x+3)=5 is x=ln(3/5)