en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{4}(8)

Solution

simplify

lo g_{4} (8)

Solution

\frac{3}{2}

+1

Decimal Notation

1.5

Solution steps

lo g_{4} (8)

Factor the number:

4 = 2^{2}

= lo g_{2^{2}} (8)

Apply log rule:

lo g_{a^{b}} (x) = \frac{1}{b} lo g_{a} (x), a > 0

lo g_{2^{2}} (8) = \frac{1}{2} lo g_{2} (8)

= \frac{1}{2} lo g_{2} (8)

Factor the number:

8 = 2^{3}

= \frac{1}{2} lo g_{2} (2^{3})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{2} (2^{3}) = 3

= \frac{1}{2} \cdot 3

\frac{1}{2} \cdot 3 = \frac{3}{2}

= \frac{3}{2}

Popular Examples

2 - 16 t = 6 (- 3 t + 2)

12 > - 2 x + 6 > - 2

simplify 3y+4(x+2y)simplify

3 y + 4 (x + 2 y)

simplify 3sqrt(6)-4sqrt(6)simplify

36 - 46

∣ 2 x + 6 ∣ = ∣ - 2 - x ∣

Frequently Asked Questions (FAQ)

What is log_{4}(8) ?
The solution to log_{4}(8) is 3/2