$\"\"$

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The functions are $\"\"$ and $\"\"$ .

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(a)

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Solve $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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Apply logarithm one to one property : if $\"\"$ ,then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Therfore,the solution is $\"\"$ .

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The solution set is $\"\"$ .

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The point is on the graph of $\"\"$ is $\"\"$ .

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$\"\"$

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(b)

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Solve $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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Apply logarithm one to one property : if $\"\"$ ,then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore,the solution is $\"\"$ .

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The solution set is $\"\"$ .

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The point is on the graph of $\"\"$ is $\"\"$ .

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$\"\"$

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(c)

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Solve for $\"\"$ .

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Equate $\"\"$ and $\"\"$ .

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$\"\"$

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Apply logarithm one to one property : if $\"\"$ ,then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore, the solution is $\"\"$ .

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The solution set is $\"\"$

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore,the point is $\"\"$ .

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Yes, the graphs of the functions $\"\"$ and $\"\"$ intersect at the point $\"\"$ .

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$\"\"$

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(d)

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Solve for $\"\"$ .

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$\"\"$ .

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Apply logarithm product property : $\"\"$ .

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$\"\"$

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Apply logarithm one to one property : if $\"\"$ ,then $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Solve for $\"\"$ by factorizing the quadratic equation.

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$\"\"$

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$\"\"$

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$\"\"$

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Apply zero product rule.

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$\"\"$ or $\"\"$

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$\"\"$ or $\"\"$

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Since $\"\"$ does not exist, hence it is not considered.

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Therefore, the solution is $\"\"$ .

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The solution set is $\"\"$ .

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$\"\"$

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(e)

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Solve for $\"\"$ .

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$\"\"$

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Substitute $\"\"$ and $\"\"$ .

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$\"\"$

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Apply logarithm quotient property : $\"\"$ .

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$\"\"$

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Apply logarithm one to one property : if $\"\"$ ,then $\"\"$ .

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$\"\"$

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Solve for $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Therefore,the solution is $\"\"$ .

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The solution set is $\"\"$ .

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$\"\"$

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(a) The solution set is $\"\"$ and the point is on the graph of $\"\"$ is $\"\"$ .

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(b) The solution set is $\"\"$ and the point is on the graph of $\"\"$ is $\"\"$ .

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(c) The solution set is $\"\"$ .

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Yes,the grpahs of the functions $\"\"$ and $\"\"$ are intersected at the point $\"\"$ .

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(d) The solution set is $\"\"$ .

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(e) The solution set is $\"\"$ .