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:
which simplifies further to
and combine the -2 and -3 to get [tex] -\frac{1}{2}x^2-2x-5 [\tex]
Hope this helps :)
Answer:
This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0. Our independent variable is the number of miles we travel, and we will call that x. If we pay .20 per mile, and miles is "x", we represent that as .20x. The 70 is the amount we will pay per day even if we drive 0 miles. Therefore, the equation is:
y = .20x + 70.
I cannot graph this for you here.
We can choose a number of miles, say 100, and solve for our cost:
y = .20(100) + 70
y = 20 + 70
y = 90
We can expect to pay $90 if we drive 100 miles in a day.
Read more on Brainly.com - brainly.com/question/13029200#readmore
Step-by-step explanation:
I think I have the diagram right.
Let ADB = x, and then BDC = x+32.
x+x+32 = 90
2x = 58
x = 29 = ADB
so BDC = 61
1. x = -4 ; f(x) = -(-4) = 4
2. x = -3 ; f(x) = 2(-3) + 1 = -5
3. x = 0 ; f(x) = 2(0) + 1 = 1
4. x = 2 ; f(x) = 2 + 3 = 5
5. x = 5 ; f(x) = 5 + 3 = 8