en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4e^{3x}-7=1

Solution

4 e^{3 x} - 7 = 1

Solution

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

+1

Decimal Notation

x = 0.23104 \dots

Solution steps

4 e^{3 x} - 7 = 1

Move

7

to the right side

4 e^{3 x} = 8

Divide both sides by

4

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

(e^4)^{3x}=e^4e^{3x}

(e^{4})^{3 x} = e^{4} e^{3 x}

e^{t} - e^{- t} = 2

4^x+2^{x+3}=128

4^{x} + 2^{x + 3} = 128

81*9^{-2b-2}=27

81 \cdot 9^{- 2 b - 2} = 27

63 = 3 3^{x}

Frequently Asked Questions (FAQ)

What is the answer to 4e^{3x}-7=1 ?
The answer to 4e^{3x}-7=1 is x=(ln(2))/3