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Question

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Answer 1

Step 1:

The logarithmic equation is .

Re write the equation as .

Apply quotient rule of logarithms: .

Apply product rule of logarithms: .

Definition of logarithmic function if and only if .

.

Step 2:

Let .

Substitute in .

.

Comments

Contd...

and

and

and .

Step 3:

Substitute in .

.

Substitute in .

.

The solutions of logarithmic equation are and .

The domain of the logarithmic equation is .

Therefore, the solution of equation is .

Solution:

The solution of logarithmic equation is .

Option (d) is correct.