What is log_{10}(sqrt(t^5)) ?

The solution to log_{10}(sqrt(t^5)) is 2log_{10}(t)+log_{10}(sqrt(t))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(sqrt(t^5))

simplify

lo g_{10} (t^{5})

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

Solution steps

lo g_{10} (t^{5})

Simplify

t^{5} : t^{2} t

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

Apply log rule:

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

lo g_{10} (t^{2} t) = lo g_{10} (t^{2}) + lo g_{10} (t)

= lo g_{10} (t^{2}) + lo g_{10} (t)

Simplify

lo g_{10} (t^{2}) : 2 lo g_{10} (t)

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

\frac{121}{4}

\frac{4 x ^{2} + 36 x - 28}{4 x}

\frac{1}{a ^{- n}}

\frac{24}{90}

100 x^{8}

What is log_{10}(sqrt(t^5)) ?
The solution to log_{10}(sqrt(t^5)) is 2log_{10}(t)+log_{10}(sqrt(t))