To solve exponential equations with the same base, apply the laws of indices to simplify the equation, then equate the exponents to find the solution. For example, in the equation 3^(2x) × 3^2 = 3^(4x) ÷ 3^2, combine exponents using multiplication and division rules to get 3^(2x+2) = 3^(4x-2), then equate the exponents: 2x + 2 = 4x - 2, which simplifies to x = 2.
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WAEC 2026 MATHS / Trick For Exponential Equations / Maths Shortcut#maths #exam #schoolHinzugefügt:
This is nine. What you are going to do is write three raised to the power of two.
Instead of raising to the power of two, use the two to multiply what you have here. So, two times two x is four x.
Then, two times one is two.
And this is equals to This is 81. 81 is three raised to the power of four. Instead of writing four here, use the four to multiply x. That is four x.
Then, also use the four to multiply two.
That is eight.
Then, divided by three raised to the power x.
So, we can apply the law of division here.
So, it means we are now going to have three raised to the power four x plus two.
Uh this end here equals to This is three and this is three. So, just take one of the threes. Okay? And this is four x minus eight.
That is four x minus eight.
This is x. So, you just bring x here. It becomes minus x.
This is what we are going to have.
So, these can cancel since the base are equal. We now have four x minus four x.
Okay? Then, plus four x. You just bring the x x this way.
That's plus x equals to minus eight.
Okay, this is plus two. Bring it to the left side, it becomes minus two. This four x and minus four x will cancel each other, leaving us with x equals to minus 10. This is the solution to the question.
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