en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(4x^2)

Solution

simplify

lo g_{10} (4 x^{2})

Solution

2 lo g_{10} (2) + 2 lo g_{10} (x)

Solution steps

lo g_{10} (4 x^{2})

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (4 x^{2}) = lo g_{10} (4) + lo g_{10} (x^{2})

= lo g_{10} (4) + lo g_{10} (x^{2})

lo g_{10} (4) = 2 lo g_{10} (2)

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

= 2 lo g_{10} (2) + 2 lo g_{10} (x)

Popular Examples

simplify log_{4}(1/6)+log_{1/3}(81)simplify

lo g_{4} (\frac{1}{6}) + lo g_{\frac{1}{3}} (81)

simplify log_{3}(x/(x-2))simplify

lo g_{3} (\frac{x}{x - 2})

simplify log_{x}(18a^5)-2log_{x}(3a)simplify

lo g_{x} (18 a^{5}) - 2 lo g_{x} (3 a)

expand log_{3}(81x^3sqrt(1+x^2))expand

lo g_{3} (81 x^{3} 1 + x^{2})

expand log_{4}(xy^4z^4)expand

lo g_{4} (x y^{4} z^{4})

Frequently Asked Questions (FAQ)

What is log_{10}(4x^2) ?
The solution to log_{10}(4x^2) is 2log_{10}(2)+2log_{10}(x)