What is log_{f}((sqrt(s)t^8)/(r^5)) ?

The solution to log_{f}((sqrt(s)t^8)/(r^5)) is log_{f}(sqrt(s))+8log_{f}(t)-5log_{f}(r)

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simplify log_{f}((sqrt(s)t^8)/(r^5))

simplify

lo g_{f} (\frac{s t ^{8}}{r ^{5}})

lo g_{f} (s) + 8 lo g_{f} (t) - 5 lo g_{f} (r)

Solution steps

lo g_{f} (\frac{s t ^{8}}{r ^{5}})

Apply log rule:

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

lo g_{f} (\frac{s t ^{8}}{r ^{5}}) = lo g_{f} (s t^{8}) - lo g_{f} (r^{5})

= lo g_{f} (s t^{8}) - lo g_{f} (r^{5})

lo g_{f} (s t^{8}) = lo g_{f} (s) + 8 lo g_{f} (t)

lo g_{f} (r^{5}) = 5 lo g_{f} (r)

= lo g_{f} (s) + 8 lo g_{f} (t) - 5 lo g_{f} (r)

lo g_{5} ((x + 10) (x - 10))

2 [lo g_{3} (20) - lo g_{3} (4)] + \frac{1}{2} lo g_{3} (4)

2 ln (x) + 3 ln (y) - 6 ln (z)

- lo g_{10} (1.3 (1 0^{- 4}))

What is log_{f}((sqrt(s)t^8)/(r^5)) ?
The solution to log_{f}((sqrt(s)t^8)/(r^5)) is log_{f}(sqrt(s))+8log_{f}(t)-5log_{f}(r)