00:01
In the given question, we are told to solve for x and an equation is given to us as log of x plus 5 is equal to, not equal to, it is minus log of x plus 5 minus log of x plus 1 is equal to 1.
00:23
So first what we should know is some properties of logarithm that we can apply over here.
00:31
The first property is when we have log of a minus log of b, we can write it as log of a divided by b.
00:40
And the second property is that when we take log with base a of a to the power of let's say some power c, the answer of this expression is equal to c.
00:56
Now we should know that log is generally log with base 10.
01:02
So keeping this in mind, when we take log with base 10 of 10 to the power 1, the answer over here is 1.
01:13
Right? according to the property that we have mentioned over here, the answer for log with base 10 of 10 of 10.
01:22
To the power as 1.
01:24
So we can write this expression.
01:26
What we, when the base of a logarithm is 10, we don't mention the logger, the base because it is the general case.
01:35
So we can write log with base 10 of 10 to the power 1 simply as log of 10 to the power 1 and this would be equal to 1...