check the picture below.
if we run a vertical line test on that graph, like you see there, namely run vertical lines through it, we can see that one vertical line only hits the graph once, not twice or more.
on the vertical line test, if the graph is hit only once by each of the vertical lines, then the graph is a function.
The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5
<h3>What is logarithm and some of its useful properties?</h3>When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'
Some properties of logarithm are:
Log with base e = 2.71828... is written as simply.
Log with base 10 is written as simply.
The equation given is:
By using the definition of log, which says , we get:
or
Thus, the equation that is equivalent to the considered equation of log is given by: Option E:
(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).
Thus, the equation that is equivalent to the considered equation of log is given by: Option E:
Learn more about logarithm here: