Question

What equation is equivalent to 2^4x= 8^x-3?

Answer 1

The answer to this problem is D. 2^4x=2^3x-9

Answer 2

Answer:2⁴ˣ = 2³ˣ⁻⁹

Explanation:

2⁴ˣ = 8ˣ⁻³

This is an indices question,

To answer this, we need to be conversant with the indices rules.

We want to make the two whole numbers ( that is two and eight) on both the left and right hand of the equation the same.

8 = 2³

So, instead of writing eight, we will simply replace it by 2³.

Our equation becomes;

2⁴ˣ = 2³⁽ˣ⁻³⁾

we can open the power bracket by multiplying the numbers in the bracket by two.

we will mow have;

2⁴ˣ = 2³ˣ⁻⁹