What is log_{b}(0.78)-log_{b}(0.82) ?

The solution to log_{b}(0.78)-log_{b}(0.82) is log_{b}(39/41)

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simplify log_{b}(0.78)-log_{b}(0.82)

simplify

lo g_{b} (0.78) - lo g_{b} (0.82)

lo g_{b} (\frac{39}{41})

Solution steps

lo g_{b} (0.78) - lo g_{b} (0.82)

Apply log rule:

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

lo g_{b} (0.78) - lo g_{b} (0.82) = lo g_{b} (\frac{0.78}{0.82})

= lo g_{b} (\frac{0.78}{0.82})

\frac{0.78}{0.82} = \frac{39}{41}

= lo g_{b} (\frac{39}{41})

ln (\frac{10}{44})

2 ln (200) - 2 ln (100)

54 ln (+ 36 l)

ln (x + y) - ln (z - 1)

- 5 ln (2) - ln (3)

What is log_{b}(0.78)-log_{b}(0.82) ?
The solution to log_{b}(0.78)-log_{b}(0.82) is log_{b}(39/41)