Have you seen many mistakes like the below?

Question 1:

3

^{x}= 27

Solution:

3

^{x}= 3

^{4}===> x = 4

Question 2:

9

^{x}= 3

^{3}

Solution:

3

^{3x}= 3

^{3}===> 3x = 3 ===> x = 1

Why the error?

A simple explanation is that the maths learner is not familiar with the basic multiplication of repeated numbers.

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

7 x 7 = 49

2 x 2 x 2 = 8

3 x 3 x 3 = 27

2 x 2 x 2 x 2 = 16

etc.....

Once you have mastered this basic repeated multiplications, you can rest assure that indices question will not be there to haunt you.

How about solving "x" in this 9

^{x + 1}+ 2(3

^{x}) - 3 = 0 ?

I bet that if you understood the above criteria of learning indices, the equation can be easily solved for x (using quadratic formula as a hint).

All complex things start off with simple things.

Do you agree this applies to maths?

:D

## 2 comments:

That is not solvable, right? because you can't square root -20

Oh, yes, the problem is solvable.

a = 9, b=2 and c= -3. Using quadratic formula, you will be able to get square of 118.

You may refer to this link at

Solving Index Expression

.

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