en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{4}(4x^2)

Solution

simplify

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

Solution

1 + lo g_{2} (x)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{4} (4) = 1

= 1 + lo g_{4} (x^{2})

Simplify

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

= 1 + lo g_{2} (x)

Popular Examples

simplify-2/6 log_{2}(2/6)-4/6 log_{2}(4/6)simplify

- \frac{2}{6} lo g_{2} (\frac{2}{6}) - \frac{4}{6} lo g_{2} (\frac{4}{6})

simplify log_{2}((sqrt(xy))/((z-3)^2))simplify

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

simplify ln(x/(x-2))+ln((x+2)/x)-ln(x^2-4)simplify

ln (\frac{x}{x - 2}) + ln (\frac{x + 2}{x}) - ln (x^{2} - 4)

simplify 3log_{10}(x)-2log_{10}(y)simplify

3 lo g_{10} (x) - 2 lo g_{10} (y)

simplify log_{5}(8/x)simplify

lo g_{5} (\frac{8}{x})

Frequently Asked Questions (FAQ)

What is log_{4}(4x^2) ?
The solution to log_{4}(4x^2) is 1+log_{2}(x)