What is log_{2}(xlog_{2}(e)) ?

The solution to log_{2}(xlog_{2}(e)) is log_{2}(x)+log_{2}(log_{2}(e))

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simplify log_{2}(xlog_{2}(e))

simplify

lo g_{2} (x lo g_{2} (e))

lo g_{2} (x) + lo g_{2} (lo g_{2} (e))

Solution steps

lo g_{2} (x lo g_{2} (e))

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (x lo g_{2} (e)) = lo g_{2} (x) + lo g_{2} (lo g_{2} (e))

= lo g_{2} (x) + lo g_{2} (lo g_{2} (e))

u (ln (c) + ln (l) + ln (z))

ln (\frac{2 π}{3})

- lo g_{10} (6.1 \cdot 1 0^{- 10})

\frac{1}{6} ln (\frac{17}{10})

- \frac{1}{2} \cdot ln (2)

What is log_{2}(xlog_{2}(e)) ?
The solution to log_{2}(xlog_{2}(e)) is log_{2}(x)+log_{2}(log_{2}(e))