00:01
In the given question we have a few logarithmic equations and we are told to solve each of this equation.
00:08
The first equation is log x is equal to 1.
00:13
So to solve for x we are going to use a property that says a raised to a log with base a of x is equal to x.
00:25
So how do we use this property? so first we are going to look at the base of the logarithm in the question.
00:34
It is not specified what base is the law, what base does the log in the problem have? and if the base is not specified, we can take the base as 10.
00:46
And now since we know that the base is equal to 10, since nothing is specified, the next as powers of 10, right? so on the left hand side we would have 10 raised to log x and on the right hand side we would have 10 raised to the power 1.
01:10
And now according to this property since logarithm has the base 10, we can use the property to write the left hand side as x and this would be equal to x would be equal to 10 raised to the power 1 which is 10, which is the required.
01:29
Solution.
01:31
Next up we have the equation that is given as log x is equal to negative 4.
01:43
So we are going to do the same method.
01:46
We just we note look what is the base of the log...