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DochEvi [55]
4 years ago
13

Can someone please explain?

Mathematics
1 answer:
GREYUIT [131]4 years ago
8 0

The function y = x, called the "identity" or "ramp" function, is a basic function that you'll need to add to your math vocabulary. Since the " x " here seems to have no exponent, fix that by thinking "x^1," or "x to the first power," or "y=x is a linear function."

The graph of y=x always goes thru the origin. It begins in the 3rd quadrant and ends in the 1st, and appears as a straight line with slope of m = rise / run = 1/1 = 1.

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3 years ago
Can someone help answer and explain to me how to solve this? log (lowercase 6) 1/36
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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 \log_x\left(x\right) = 1 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)

-------------

So,

\log_6\left(\frac{1}{36}\right)=\log_6\left(\frac{1}{6^2}\right)

\log_6\left(\frac{1}{36}\right)=\log_6\left(6^{-2}\right)

\log_6\left(\frac{1}{36}\right)=-2*\log_6\left(6\right) Use log rule 1 (see above)

\log_6\left(\frac{1}{36}\right)=-2*1 Use log rule 2 (see above)

\log_6\left(\frac{1}{36}\right)=-2 

This means that the given expression simplifies to -2

You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer

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