en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(8)(2)

Solution

simplify

lo g_{10} (8) (2)

Solution

6 lo g_{10} (2)

+1

Solution steps

lo g_{10} (8) (2)

Apply rule:

(a) = a

(2) = 2

= lo g_{10} (8) \cdot 2

Factor the number:

8 = 2^{3}

= lo g_{10} (2^{3}) \cdot 2

Apply log rule:

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

lo g_{10} (2^{3}) = 3 lo g_{10} (2)

= 3 lo g_{10} (2) \cdot 2

Multiply the numbers:

3 \cdot 2 = 6

= 6 lo g_{10} (2)

Popular Examples

factor 7x^4-12x^2-4 factor

7 x^{4} - 12 x^{2} - 4

simplify (6x^2)/(x^2)simplify

\frac{6 x ^{2}}{x ^{2}}

simplify 15/16+5/128 simplify

\frac{15}{16} + \frac{5}{128}

simplify (6^{-4})/(6^{-1)}simplify

\frac{6 ^{- 4}}{6 ^{- 1}}

simplify 7/12+5/12 simplify

\frac{7}{12} + \frac{5}{12}

Frequently Asked Questions (FAQ)

What is log_{10}(8)(2) ?
The solution to log_{10}(8)(2) is 6log_{10}(2)