How do you solve #1/ sqrt 8 = 4^(m – 2)#?
The answer is
When solving exponential equations (or inequalities) first you have to find a suitable common base. In this case it would be
Now you have to write the equation using calculated base:
Now you can use the property of powers which says that
Next property to use is:
Now since we have the equality of 2 powers with equal base we can write it as the equality of exponents: