What is log_{2}(32767)-log_{2}(8.3) ?

The solution to log_{2}(32767)-log_{2}(8.3) is log_{2}(3947.83132…)

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simplify log_{2}(32767)-log_{2}(8.3)

simplify

lo g_{2} (32767) - lo g_{2} (8.3)

lo g_{2} (3947.83132 \dots)

Decimal Notation

11.94684 \dots

Solution steps

lo g_{2} (32767) - lo g_{2} (8.3)

Apply log rule:

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

lo g_{2} (32767) - lo g_{2} (8.3) = lo g_{2} (\frac{32767}{8.3})

= lo g_{2} (\frac{32767}{8.3})

Divide the numbers:

\frac{32767}{8.3} = 3947.83132 \dots

= lo g_{2} (3947.83132 \dots)

ln (15) - ln (7)

ln (\frac{1000}{n})

ln (142) - 0.515 \cdot ln (100)

ln (\frac{68}{80})

ln (8.513 \cdot 1 0^{- 4})

What is log_{2}(32767)-log_{2}(8.3) ?
The solution to log_{2}(32767)-log_{2}(8.3) is log_{2}(3947.83132…)