What is 3(log_{7}(x)+2log_{7}(y)-3log_{7}(z)) ?

The solution to 3(log_{7}(x)+2log_{7}(y)-3log_{7}(z)) is 3log_{7}((xy^2)/(z^3))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 3(log_{7}(x)+2log_{7}(y)-3log_{7}(z))

simplify

3 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

3 lo g_{7} (\frac{x y ^{2}}{z ^{3}})

Solution steps

3 (lo g_{7} (x) + 2 lo g_{7} (y) - 3 lo g_{7} (z))

Apply log rule:

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

2 lo g_{7} (y) = lo g_{7} (y^{2})

= 3 (lo g_{7} (x) + lo g_{7} (y^{2}) - 3 lo g_{7} (z))

Apply log rule:

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

lo g_{7} (x) + lo g_{7} (y^{2}) = lo g_{7} (x y^{2})

= 3 (lo g_{7} (x y^{2}) - 3 lo g_{7} (z))

Apply log rule:

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

3 lo g_{7} (z) = lo g_{7} (z^{3})

= 3 (- lo g_{7} (z^{3}) + lo g_{7} (x y^{2}))

Apply log rule:

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

lo g_{7} (x y^{2}) - lo g_{7} (z^{3}) = lo g_{7} (\frac{x y ^{2}}{z ^{3}})

= 3 lo g_{7} (\frac{x y ^{2}}{z ^{3}})

lo g_{10} (2 A)

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

lo g_{3} (\frac{a b}{12})

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

[y (ln (x) - ln (y)) + x] d x + x (ln (y) - ln (x)) d y

What is 3(log_{7}(x)+2log_{7}(y)-3log_{7}(z)) ?
The solution to 3(log_{7}(x)+2log_{7}(y)-3log_{7}(z)) is 3log_{7}((xy^2)/(z^3))