Using logarithmic laws: log(a) + log(b) = log(ab)
log₄ (x + 9) + log₄ (x + 21) = log₄ [(x + 9)(x + 21)] = 3
Since we want the equation in terms of x, the next intuitive step is take 4 to the power of both sides, because the left hand side will simplify easily.



Solving the quadratic we get:



BUT, for the logarithmic equation to be defined, x > -9, so x≠ -25
Thus, the only solution is x = -5.
Answer:
Nonmonotonic
Step-by-step explanation:
A non-monotonic function is a function that is increasing and decreasing on different intervals of its domain. As we can see that same thing happens in a curvilinear relationship, that is why it is aslo called a Non-monotonic.
The factorization of
is
.
<h3>Factorization;</h3>
Factorization is nothing but writing a number as the product of smaller numbers.
Given
Polynomial; 
To find the factorization the polynomial equates the equation with zero following all the steps given below.
Then,
The factor of the polynomial is;

Hence, the factorization of
is
.
To know more about factorization click the link given below.
brainly.com/question/17595467
All sides of an equilateral triangle are equal, so all three sides are 9 cm.
To find h, use the pythagorean theorem. This requires use of only one right triangle, where we use b as our h.
a^2+b^2=c^2
(4.5)^2+b^2=(9)^2
(20.25)+b^2=(81)
b^2=(81/20.25) or 4
square root both sides
b=2
Answer:
9(1-4x)
Step-by-step explanation: