en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3e^{5x}-2=10

Solution

3 e^{5 x} - 2 = 10

Solution

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

+1

Decimal Notation

x = 0.27725 \dots

Solution steps

3 e^{5 x} - 2 = 10

Move

2

to the right side

3 e^{5 x} = 12

Divide both sides by

3

e^{5 x} = 4

Apply exponent rules

5 x = ln (4)

Solve

5 x = ln (4) : x = \frac{2 ln ( 2 )}{5}

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

Popular Examples

3 \cdot 6^{2 x} = 1 2^{x}

(ax)/(e^{bx)}=0

\frac{a x}{e ^{b x}} = 0

2^{n} = 1000 \cdot 60 \cdot 60

e^{x + 2} + e^{x} = 8

6*3^{x-1}=6^{2x}

6 \cdot 3^{x - 1} = 6^{2 x}

Frequently Asked Questions (FAQ)

What is the answer to 3e^{5x}-2=10 ?
The answer to 3e^{5x}-2=10 is x=(2ln(2))/5