Use the rules of logarithm:
1. log(x)+log(y)=log(xy)
log(x)-log(y)=log(x/y)
2. k*log(x) = log(x^k)
log(x)/k = log(x^(1/k))
<span>log(2z)+2log(2x)+4log(9y)+12log(9x)−2log(2y)
=</span>log(2z)+log(4x^2)+log(9^4y^4)+log(9^12x^12)−log(4y^2)
=log(2z)+log(4x^2)+log(6561y^4)+log(282429536481x^12)−log(4y^2)
=log(59296646043258912 * x^14 * y^6 * z)
well if the pizza costs $12.00 then that leaves $2.25
$14.25-$12.00=$2.25
and then take $2.25 and devide it by 5 for the amout each soda costs
$2.25/5=$0.45
each soda costs $0.45
Answer: terminating decimal
Step-by-step explanation:
Based on the calculations, the sum of this geometric series is equal to 9,990.
<h3>The standard form of a geometric series.</h3>
Mathematically, the standard form of a geometric series can be represented by the following expression:

Where:
- a₁ is the first term of a geometric series.
<h3>How to calculate the sum of a geometric series?</h3>
Also, the sum of a geometric series is given by this mathematical expression:

<u>Given the following data:</u>
- Common ratio, r = 900/9000 = 0.1
Substituting the given parameters into the formula, we have;

S = 9000(0.999)/0.9
S = 8,991/0.9
S = 9,990.
Read more on geometric series here: brainly.com/question/12630565
#SPJ1
Answer:
Step-by-step explanation:
(fog)(x) = f(x)*g(x)
= 8x * (2x + 1)
= 8x * 2x + 8x * 1
= 16x² + 8x