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, log40 and log80 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