6/1 x (4/5 + 2/10) 2/3

Mathematics

1 answer:

dem82 [27]3 years ago

5 0

The result can be shown in both exact and decimal forms.

Exact Form:

Decimal Form:

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Fill in the steps to solve the log log base x of (2x)^3=6

arsen [322]

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0 x=2

We cannot have a base of 0, so x cannot equal 0

x=2

6 0

3 years ago

When is interest best compounded?

e-lub [12.9K]

Usually, the more often it's compounded, the better. That's assuming that the percent is equal through all comparisons, however.

8 0

2 years ago

Rectangle WXYZ was dilated to create W'X'Y'Z'.

Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

Answer:

0.5 units