00:01
So, i have this logarithmic equation over here given by log of x plus 2 to the base 2 minus log of x plus 2 to the base 2 is equal to log of x to the base 2.
00:11
So we have this property over here, i will use that property we know log of a to the base 2 minus log of b to the base 2 that is equal to log of a upon b to the base 2.
00:32
So using this property, i will continue, therefore, log of x plus 20 whole divided by x plus 2 is equal to log of x to the base 2.
00:47
So comparing this, i will write directly x plus 20 divided by x plus 2 is equal to x.
00:55
So on simplifying this, what do i get? x plus 20 is equal to x into x plus 2, which is nothing but x squared.
01:04
Plus 2x.
01:07
On further simplifying, i will get 0 is equal to x square plus x minus 20.
01:13
So this is a simple quadratic equation and we know the roots of this quadratic and we are very familiar with it.
01:21
It will come out as x plus 5 into x minus 4 that is equal to 0.
01:29
So from here i will say x equal to minus 5 or x equal to 4...