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Question

The maximum value of f(x)=|log(x3)|+3 is

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Solution

Graph of y=logx is


Now shift this curve towards right by 3 units
y=log(x3)


Now, graph of y=|log(x3)| is


We get y=|log(x3)| by inverting the graph of y=|log(x3)| with respect to x axis.


For y=|log(x3)|+3, we move the curve upwards by 3 units.


Hence, the maximum value is 3.

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