Today I want to talk about solving indices questions. There are basically two types of questions. The first is when
a f (x) = a g(x)
the base of each side of the equation is the same (a). Hence, f (x) = g(x). Of course, in this case, you must be able to simplify each side of the equation to the same base. One hint: all the terms on each side are multiplied or divided with each other.
Let’s look at an example:
Solve:
In this case, you will see that the terms on LHS of the equation are multiplied with each other. Hence, we can use this form of solution; and first transform them into the same base viz,
The next type of question is the substitution question. Basically, this is when the terms in the equation are added (or subtracted) together, not multiplied. In this case, we are unable to simplify them into the same base for both sides (even if they are already of the same base!) because the terms are separated by a “+” or “-“ sign. In this case, we will use the substitution method; as such:
So now, we have seen both types of questions that usually come with indices questions. Master them and you will be on your way to A Maths mastery….!
Have a great weekend!
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