en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(15)/(e^{2x)}=3

Solution

\frac{15}{e ^{2 x}} = 3

Solution

x = \frac{ln ( 5 )}{2}

+1

Decimal Notation

x = 0.80471 \dots

Solution steps

\frac{15}{e ^{2 x}} = 3

Apply exponent rules

- 2 x = ln (\frac{1}{5})

Solve

- 2 x = ln (\frac{1}{5}) : x = \frac{ln ( 5 )}{2}

x = \frac{ln ( 5 )}{2}

Verify Solutions:

x = \frac{ln ( 5 )}{2}

True

The solution is

x = \frac{ln ( 5 )}{2}

Popular Examples

3^{2 x + 1} = 27

4^{2 x + 1} = 4

2^{n + 1} = 32

e^{x} - x^{2} = 0

5^{x + 1} + 5^{x} = 6

Frequently Asked Questions (FAQ)

What is the answer to (15)/(e^{2x)}=3 ?
The answer to (15)/(e^{2x)}=3 is x=(ln(5))/2