What is log_{g}((sqrt(s)t^6)/(r^7)) ?

The solution to log_{g}((sqrt(s)t^6)/(r^7)) is log_{g}(sqrt(s))+6log_{g}(t)-7log_{g}(r)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{g}((sqrt(s)t^6)/(r^7))

simplify

lo g_{g} (\frac{s t ^{6}}{r ^{7}})

lo g_{g} (s) + 6 lo g_{g} (t) - 7 lo g_{g} (r)

Solution steps

lo g_{g} (\frac{s t ^{6}}{r ^{7}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{g} (\frac{s t ^{6}}{r ^{7}}) = lo g_{g} (s t^{6}) - lo g_{g} (r^{7})

= lo g_{g} (s t^{6}) - lo g_{g} (r^{7})

lo g_{g} (s t^{6}) = lo g_{g} (s) + 6 lo g_{g} (t)

lo g_{g} (r^{7}) = 7 lo g_{g} (r)

= lo g_{g} (s) + 6 lo g_{g} (t) - 7 lo g_{g} (r)

lo g_{10} (8) - lo g_{10} (4)

lo g_{10} (y z^{7})

lo g_{4} (6 x^{4})

2 lo g_{8} (9 x) - lo g_{8} (2 x - 5)

lo g_{7} (\frac{7}{y})

What is log_{g}((sqrt(s)t^6)/(r^7)) ?
The solution to log_{g}((sqrt(s)t^6)/(r^7)) is log_{g}(sqrt(s))+6log_{g}(t)-7log_{g}(r)