Answer: The log simplifies to
-2-------------------------------------------
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Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is

where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.
Because 36 = 6^2, this means that 1/36 = 6^(-2)
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So,



Use log rule 1 (see above)

Use log rule 2 (see above)
This means that the given expression simplifies to
-2You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get
-2 as the answer
Answer:
2
Step-by-step explanation:
Pick two points
(2,0) and (3,2)
Then use the slope formula
m= (y2-y1)/(x2-x1)
= (2-0)/(3-2)
= 2/1
=2
Assume that f(5)=8. So, (5, 8) is a point in the graph of f.
For g(x) to give us 8, we need x to be 12, because in that case we would have:
g(12)=f(12-7)=f(5), which is 8. Thus, (12, 8) is a point on the graph of g.
Comparing (5, 8) in f, and (12, 8) in g, we can see that the graph of g is the graph of f shifted 7 units to the right.
Answer: <span>C) The graph of g(x) is the graph of f(x) translated 7 units right.</span>
Answer:
6
Step-by-step explanation:
Answer:
$27
Step-by-step explanation:
18 times $1.50 = 27 dollars a year