What is 2log_{3}(6)-1/2 log_{3}(64)+log_{3}(2) ?

The solution to 2log_{3}(6)-1/2 log_{3}(64)+log_{3}(2) is 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 2log_{3}(6)-1/2 log_{3}(64)+log_{3}(2)

simplify

2 lo g_{3} (6) - \frac{1}{2} lo g_{3} (64) + lo g_{3} (2)

2

Solution steps

2 lo g_{3} (6) - \frac{1}{2} lo g_{3} (64) + lo g_{3} (2)

2 lo g_{3} (6) = 2 + 2 lo g_{3} (2)

\frac{1}{2} lo g_{3} (64) = 3 lo g_{3} (2)

= 2 + 2 lo g_{3} (2) - 3 lo g_{3} (2) + lo g_{3} (2)

Add similar elements:

2 lo g_{3} (2) - 3 lo g_{3} (2) + lo g_{3} (2) = 0

= 2

ln (\frac{13}{10})

lo g_{10} (\frac{5 x}{2})

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

lo g_{10} (10 x) + lo g_{10} (10 y)

lo g_{10} (x) + 2 lo g_{10} (6 y)

What is 2log_{3}(6)-1/2 log_{3}(64)+log_{3}(2) ?
The solution to 2log_{3}(6)-1/2 log_{3}(64)+log_{3}(2) is 2