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

The answer to |log_{2}(x)|=3 is x= 1/8 ,x=8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

|log_{2}(x)|=3

∣ lo g_{2} (x) ∣ = 3

x = \frac{1}{8}, x = 8

Decimal Notation

x = 0.125, x = 8

Solution steps

∣ lo g_{2} (x) ∣ = 3

Rewrite the equation with

lo g_{2} (x) = u

∣ u ∣ = 3

Solve

∣ u ∣ = 3 : u = - 3 or u = 3

u = - 3, u = 3

Substitute back

u = lo g_{2} (x),

solve for

x

Solve

lo g_{2} (x) = - 3 : x = \frac{1}{8}

Solve

lo g_{2} (x) = 3 : x = 8

x = \frac{1}{8}, x = 8

Verify Solutions:

x = \frac{1}{8}

True

, x = 8

True

The solutions are

x = \frac{1}{8}, x = 8

lo g_{2} (x^{2} - 9) = 4

x, lo g_{e} (2 x + 1) = 0

2 lo g_{10} (x - 2) - lo g_{10} (x) = 0

lo g_{10} (x) 64 = 3

5 ln (3 x + 3) + 19 = 59

What is the answer to |log_{2}(x)|=3 ?
The answer to |log_{2}(x)|=3 is x= 1/8 ,x=8
Solve for x: |log_{2}(x)|=3
The solution is x= 1/8 ,x=8