en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3*4e^{2-2x}+1=4

Solution

3 \cdot 4 e^{2 - 2 x} + 1 = 4

Solution

x = \frac{2 ln ( 2 ) + 2}{2}

+1

Decimal Notation

x = 1.69314 \dots

Solution steps

3 \cdot 4 e^{2 - 2 x} + 1 = 4

Multiply the numbers:

3 \cdot 4 = 12

12 e^{2 - 2 x} + 1 = 4

Move

1

to the right side

12 e^{2 - 2 x} = 3

Divide both sides by

12

e^{2 - 2 x} = \frac{1}{4}

Apply exponent rules

2 - 2 x = ln (\frac{1}{4})

Solve

2 - 2 x = ln (\frac{1}{4}) : x = \frac{2 ln ( 2 ) + 2}{2}

x = \frac{2 ln ( 2 ) + 2}{2}

Popular Examples

4^{x^2}=2^{8x-8}

4^{x^{2}} = 2^{8 x - 8}

4^{2x+1}=8^{1-x}

4^{2 x + 1} = 8^{1 - x}

3^{x} + 1 = 0

1 2^{x} = 8

2^{b - 1} = 512

Frequently Asked Questions (FAQ)

What is the answer to 3*4e^{2-2x}+1=4 ?
The answer to 3*4e^{2-2x}+1=4 is x=(2ln(2)+2)/2