What is log_{2}(Ine^4) ?

The solution to log_{2}(Ine^4) is log_{2}(I)+log_{2}(n)+4log_{2}(e)

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simplify log_{2}(Ine^4)

simplify

lo g_{2} (I n e^{4})

lo g_{2} (I) + lo g_{2} (n) + 4 lo g_{2} (e)

Solution steps

lo g_{2} (I n e^{4})

Apply log rule:

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

lo g_{2} (I n e^{4}) = lo g_{2} (I) + lo g_{2} (n) + lo g_{2} (e^{4})

= lo g_{2} (I) + lo g_{2} (n) + lo g_{2} (e^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{2} (e^{4}) = 4 lo g_{2} (e)

= lo g_{2} (I) + lo g_{2} (n) + 4 lo g_{2} (e)

ln (\frac{x}{x \cdot y ^{3}})

ln (x^{r}) + ln (y^{r})

3 ln (2 x)

4 ln (\frac{2}{23})

ln (x) - ln (x + 2)

What is log_{2}(Ine^4) ?
The solution to log_{2}(Ine^4) is log_{2}(I)+log_{2}(n)+4log_{2}(e)