What is simplify-3log_{2}(t)-log_{2}(3) ?

The solution to simplify-3log_{2}(t)-log_{2}(3) is -log_{2}(t^3*3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-3log_{2}(t)-log_{2}(3)

simplify

- 3 lo g_{2} (t) - lo g_{2} (3)

- lo g_{2} (t^{3} \cdot 3)

Solution steps

- 3 lo g_{2} (t) - lo g_{2} (3)

Apply log rule:

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

3 lo g_{2} (t) = lo g_{2} (t^{3})

= - lo g_{2} (t^{3}) - lo g_{2} (3)

Rewrite

- lo g_{2} (t^{3}) - lo g_{2} (3)

- (lo g_{2} (t^{3}) + lo g_{2} (3))

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

Apply log rule:

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

lo g_{2} (t^{3}) + lo g_{2} (3) = lo g_{2} (3 t^{3})

= - lo g_{2} (t^{3} \cdot 3)

- 1 ln (\frac{s ^{2} - a ^{2}}{s ^{2}})

ln (\frac{10}{0.5})

lo g_{e} (\frac{49 π ^{6}}{3})

3 ln (x + 7) - ln (x + 8)

2 ln (x - 1) + 2 ln (y + 1)

What is simplify-3log_{2}(t)-log_{2}(3) ?
The solution to simplify-3log_{2}(t)-log_{2}(3) is -log_{2}(t^3*3)