A log function is a way to find how much a number must be raised in order to get the desired number. The correct option is A.
What is Logarithm?
A log function is a way to find how much a number must be raised in order to get the desired number.
[tex]a^c =b[/tex]
can be written as
[tex]\rm{log_ab=c[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
The solution set of the given equation can be found as shown below.
log₄(x-3) + log₄(x+3)=2
log₄[(x-3)(x+3)] = 2
Taking antilog,
(x-3)(x+3) = 4²
(x-3)(x+3) = 16
x² - 3² = 16
x² = 16 + 3²
x² = 25
x = ±5
Substitute the value of x as -5 and 5, to verify if the equation is verified.
The only value for which the equation is satisfied is 5.
The above solution can be verified by plotting the graph.
Learn more about Logarithm:
https://brainly.com/question/20835449
#SPJ5
