Pls explain 3rd and 4th log graphs with a brief explanation of mod also....pls fast...

Pls explain 3rd and 4th log graphs with a brief explanation of mod also....pls fast... 12 M S. Graph of y • logalxl Gr•pb Y.axi•. when 3 x 4, Illustration Solution. • (i) For x 1. logx2 < log 21 log

Dear student,
question 3  $y_1={\log }_a\left|x\right|$
$$\begin{gathered} \left(1\right) for a>1 \\ {\log }_a x is increa\sin g function \\ for x>0 graph of y_1 shown in right part of the given 1 graph \\ and for x<0 graph become mirror image about y_1 axes of right part of the given 1 graph \end{gathered}$$
$$\begin{gathered} \left(2\right) for a<1 \\ {\log }_a x is decrea\sin g function \\ for x>0 graph of y_1 shown in right part of the given 2 graph \\ and for x<0 graph become mirror image about y_1 axes of right part of the given 2 graph \end{gathered}$$

question 4  $y_2=\left|{\log }_a\left|x\right|\right|$
y₂ = |y₁|
in  above case for y<0  graph  of y₂ =  mirror image in x axes of lower part of y₁ graph.

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