Changing Base of Powers and Logs to Simplify a Tricky Expression

Logarithmic and exponential equations are common in Maths Olympiads and harder College Entrance Tests, and frequently they involve numerous terms with different log and power bases. As such, the method employed in this video, namely converting all of the log and power bases to the same base and then simplifying, is well worth mastering - certainly, knowing well the two equations at 0:50 is essential.

Frankly speaking, if you can do this question, then pat yourself on the back because your knowledge of the basic manipulations of logs and powers is pretty good!

For more videos on logarithms, see our playlist 'Logarithms'

For more videos on exponents see our playlist 'Exponential Equations/Power Rules'

For more videos on Maths Olympiads, see our playlist 'Maths Olympiads'

For more JEE Main videos see our playlist 'JEE Aspirant'

For more videos on College Entrance Tests see our playlist 'UPCAT and Other CETs'

[bonzobobajob]

🤪😂😂Excellent question....I would never have got that answer!!! Great explanation👍

[leilanemag]

I choose a. Run out of the exam room screaming.