What is log_{1.5}(700/200)-2 ?

The solution to log_{1.5}(700/200)-2 is log_{1.5}(700)-log_{1.5}(200)-2

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simplify log_{1.5}(700/200)-2

simplify

lo g_{1.5} (\frac{700}{200}) - 2

lo g_{1.5} (700) - lo g_{1.5} (200) - 2

Decimal Notation

1.08969 \dots

Solution steps

lo g_{1.5} (\frac{700}{200}) - 2

Apply log rule:

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

lo g_{1.5} (\frac{700}{200}) = lo g_{1.5} (700) - lo g_{1.5} (200)

= lo g_{1.5} (700) - lo g_{1.5} (200) - 2

- lo g_{10} (6.31 \cdot 1 0^{- 5})

ln (13) + ln (x)

(ln (6) - ln (3)) \cdot (4) - ((ln (4) - ln (2)) (3))

20 ln (\frac{22000 e}{34 e})

0.025 ln (\frac{2 \cdot 1 0 ^{18} \cdot 1 0 ^{20}}{1 0 ^{20}})

What is log_{1.5}(700/200)-2 ?
The solution to log_{1.5}(700/200)-2 is log_{1.5}(700)-log_{1.5}(200)-2