You have to be familiar with the law of logarithm, especially change of base

It is good that you also know how to ‘swap base The base and the number changes place with 1 as the numerator.

Please check if your values of x are accepted of rejected. Substitute the values of x back into the equation, log_{4}0 and log_{8}0 has no solution so we reject x=0 and only accept x=5/2

**Step 1: Change the base** of the logarithms on the **left** from **4 to 2**

**Step 2: Change the base** of the logarithms on the **right** from 3** to 2**

**Step 3: Multiply **both sides by** 2**

**Step 4: Remove the log** on both sides

**Step 5: Solve for x**

Additional Math (A-Math) ( amath) Tuition Choa Chu Kang, Yew Tee, Yishun and Sembawang