What is log_{0.4}(3/2)-log_{2.5}(2) ?

The solution to log_{0.4}(3/2)-log_{2.5}(2) is log_{0.4}(3)-log_{0.4}(2)-log_{2.5}(2)

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simplify log_{0.4}(3/2)-log_{2.5}(2)

simplify

lo g_{0.4} (\frac{3}{2}) - lo g_{2.5} (2)

lo g_{0.4} (3) - lo g_{0.4} (2) - lo g_{2.5} (2)

Decimal Notation

- 1.19897 \dots

Solution steps

lo g_{0.4} (\frac{3}{2}) - lo g_{2.5} (2)

Apply log rule:

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

lo g_{0.4} (\frac{3}{2}) = lo g_{0.4} (3) - lo g_{0.4} (2)

= lo g_{0.4} (3) - lo g_{0.4} (2) - lo g_{2.5} (2)

lo g_{10} (\frac{z ^{4}}{x ^{5} y})

lo g_{2} (\frac{4}{y}) 5

lo g_{10} (\frac{u ^{2} + v ^{2}}{10000})

- lo g_{10} (2.3 \cdot 1 0^{- 5})

lo g_{10} (\frac{x ^{2} - 1}{y z ^{3}})

What is log_{0.4}(3/2)-log_{2.5}(2) ?
The solution to log_{0.4}(3/2)-log_{2.5}(2) is log_{0.4}(3)-log_{0.4}(2)-log_{2.5}(2)