What is expand log_{10}(sqrt(100t)) ?

The solution to expand log_{10}(sqrt(100t)) is 1/2 log_{10}(t)+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{10}(sqrt(100t))

expand

lo g_{10} (100 t)

\frac{1}{2} lo g_{10} (t) + 1

Solution steps

lo g_{10} (100 t)

100 t = 10 t

= lo g_{10} (10 t)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Simplify

lo g_{10} (10) : 1

Rewrite as

= lo g_{10} (t^{\frac{1}{2}}) + 1

Apply log rule

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

assuming

x \geq 0

= \frac{1}{2} lo g_{10} (t) + 1

\frac{5 ( s + 2 )}{( s ^{2} ( s + 1 ) ( s + 3 ) )}

(2 k) y (2 k, - 5)

\frac{s ^{2} + 1}{s ^{2} ( s - 3 ) ^{2}}

(3 t^{3} - 6 t^{2} + 3 t) \cdot (1, - 3)

\frac{( 2 Z - 1 ) ( Z - 1 ) ( Z + 2 )}{2 Z}

What is expand log_{10}(sqrt(100t)) ?
The solution to expand log_{10}(sqrt(100t)) is 1/2 log_{10}(t)+1