What is the answer to log_{2}(3x+2)-log_{2}(x)=3 ?

The answer to log_{2}(3x+2)-log_{2}(x)=3 is x= 2/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

log_{2}(3x+2)-log_{2}(x)=3

lo g_{2} (3 x + 2) - lo g_{2} (x) = 3

x = \frac{2}{5}

Decimal Notation

x = 0.4

Solution steps

lo g_{2} (3 x + 2) - lo g_{2} (x) = 3

Add

lo g_{2} (x)

to both sides

lo g_{2} (3 x + 2) - lo g_{2} (x) + lo g_{2} (x) = 3 + lo g_{2} (x)

Simplify

lo g_{2} (3 x + 2) = 3 + lo g_{2} (x)

Apply log rules

3 x + 2 = 8 x

Solve

3 x + 2 = 8 x : x = \frac{2}{5}

x = \frac{2}{5}

Verify Solutions:

x = \frac{2}{5}

True

The solution is

x = \frac{2}{5}

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

lo g_{9} (x) = 4

lo g_{9} (x) = 1

lo g_{2} (x + 2) = lo g_{3} (27)

lo g_{x} (625) = 2

What is the answer to log_{2}(3x+2)-log_{2}(x)=3 ?
The answer to log_{2}(3x+2)-log_{2}(x)=3 is x= 2/5
Solve for x: log_{2}(3x+2)-log_{2}(x)=3
The solution is x= 2/5