Sweden | A Nice Logarithmic Algebra Simplification

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Комментарии
Автор

Log[3, 3]+Log[3, 3]=2 2=2 solution x=3

RyanLewis-Johnson-wqxs
Автор

Since logx(y)=ln(x)/ln(y), we get
ln(x)/n(3)+ln(3)/ln(x)=2
Since log1(3) does not reallly make sense, we can state, that x is not 1 and therefor that ln(x) ist not zero. So wecan multiply the whholle equation with ln(x)*ln(3) without losing solutions or get errnous solutions. So we get:


(ln(x)-ln(3))^2=0
That is onl the case, if (ln(x)-ln(3))=0, so ln(x)=ln(3), which is only the case for x=3.

juergenilse
Автор

The answer is x = 3. Also I am thinking that this is applicable to the last problem, right???

michaeldoerr