en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3+4e^x+1=11

Solution

3 + 4 e^{x} + 1 = 11

Solution

x = ln (\frac{7}{4})

+1

Solution steps

3 + 4 e^{x} + 1 = 11

Group like terms

4 e^{x} + 3 + 1 = 11

Add the numbers:

3 + 1 = 4

4 e^{x} + 4 = 11

Move

4

to the right side

4 e^{x} = 7

Divide both sides by

4

e^{x} = \frac{7}{4}

Apply exponent rules

x = ln (\frac{7}{4})

Popular Examples

e^{(ln(0.7))t}=0.9

e^{(l n (0.7)) t} = 0.9

2^{3 - x} = 5^{x}

2^x*5^{x-1}=0.01

2^{x} \cdot 5^{x - 1} = 0.01

800 = 25 (2^{t})

2^{x+2}+2^{x-1}-2^{x-3}=70

2^{x + 2} + 2^{x - 1} - 2^{x - 3} = 70

Frequently Asked Questions (FAQ)

What is the answer to 3+4e^x+1=11 ?
The answer to 3+4e^x+1=11 is x=ln(7/4)