en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(16x)

Solution

simplify

lo g_{10} (16 x)

Solution

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

Solution steps

lo g_{10} (16 x)

Apply log rule:

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

lo g_{10} (16 x) = lo g_{10} (16) + lo g_{10} (x)

= lo g_{10} (16) + lo g_{10} (x)

lo g_{10} (16) = 4 lo g_{10} (2)

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

Popular Examples

simplify log_{9}(9/x)simplify

lo g_{9} (\frac{9}{x})

simplify ln((5x^2\sqrt[3]{1-x})/(4(x+1)^2))simplify

simplify log_{8}(8/y)simplify

lo g_{8} (\frac{8}{y})

simplify log_{4}(5r)simplify

lo g_{4} (5 r)

simplify log_{10}((a^2)/(b^{-3)c^4})simplify

lo g_{10} (\frac{a ^{2}}{b ^{- 3} c ^{4}})

Frequently Asked Questions (FAQ)

What is log_{10}(16x) ?
The solution to log_{10}(16x) is 4log_{10}(2)+log_{10}(x)