en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3e^{7x-2}+5=29

Solution

3 e^{7 x - 2} + 5 = 29

Solution

x = \frac{3 ln ( 2 ) + 2}{7}

+1

Decimal Notation

x = 0.58277 \dots

Solution steps

3 e^{7 x - 2} + 5 = 29

Move

5

to the right side

3 e^{7 x - 2} = 24

Divide both sides by

3

e^{7 x - 2} = 8

Apply exponent rules

7 x - 2 = ln (8)

Solve

7 x - 2 = ln (8) : x = \frac{3 ln ( 2 ) + 2}{7}

x = \frac{3 ln ( 2 ) + 2}{7}

Popular Examples

1 0^{x} = 2772

solvefor x,h=e^x solve for

x, h = e^{x}

2^{4 x} = 9

solvefor t,x=e^t-9 solve for

t, x = e^{t} - 9

2^{x + 1} - 3 = 29

Frequently Asked Questions (FAQ)

What is the answer to 3e^{7x-2}+5=29 ?
The answer to 3e^{7x-2}+5=29 is x=(3ln(2)+2)/7