en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4e^{2x-3}-5=e

Solution

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

Solution

x = \frac{ln ( \frac{e + 5}{4} ) + 3}{2}

+1

Solution steps

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

Move

5

to the right side

4 e^{2 x - 3} = e + 5

Divide both sides by

4

e^{2 x - 3} = \frac{e + 5}{4}

Apply exponent rules

2 x - 3 = ln (\frac{e + 5}{4})

Solve

2 x - 3 = ln (\frac{e + 5}{4}) : x = \frac{ln ( \frac{e + 5}{4} ) + 3}{2}

x = \frac{ln ( \frac{e + 5}{4} ) + 3}{2}

Popular Examples

3394=3000(1+0.025)^x

3394 = 3000 (1 + 0.025)^{x}

(2^{3(c-3)})/(2^3)=2^2

\frac{2 ^{3 (c - 3)}}{2 ^{3}} = 2^{2}

2 \cdot 3^{x} = 162

2^{y + 1} = 5

69 = 1 1^{x}

Frequently Asked Questions (FAQ)

What is the answer to 4e^{2x-3}-5=e ?
The answer to 4e^{2x-3}-5=e is x=(ln((e+5)/4)+3)/(2)