What is (log_{10}(16))/(log_{10)(4)} ?

The solution to (log_{10}(16))/(log_{10)(4)} is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (log_{10}(16))/(log_{10)(4)}

simplify

\frac{lo g _{10} ( 16 )}{lo g _{10} ( 4 )}

2

Solution steps

\frac{lo g _{10} ( 16 )}{lo g _{10} ( 4 )}

Apply log rule:

\frac{lo g _{c} ( b )}{lo g _{c} ( a )} = lo g_{a} (b)

\frac{lo g _{10} ( 16 )}{lo g _{10} ( 4 )} = lo g_{4} (16)

= lo g_{4} (16)

Factor the number:

16 = 4^{2}

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

Apply log rule:

lo g_{a} (a^{b}) = b

= 2

- 1 - \frac{5}{2}

18 x^{4}

- \frac{9}{2} + 2

(- 3)^{4}

(2 x^{2} - 1)^{3}

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