CPhill

how do you solve 8^ log base 2 of 5

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So, I'm assuming you have this:

8^(log₂(5))

By something called the "change of base" rule, we can write:

log₂(5)   =    [ log(5) / log (2) ]

And evaluating this gives us......2.3219280948873626

So we have

8^{2.3219280948873626} ≈ 125

And that's it.....

[(2x^4)^3]^2

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Remember, by a property of exponents, (a b)^m =   a^m b^m

Then, applying the exponent "3" across the terms inside the parentheses, we have

(2)³ * (x⁴)³   = (8)(x)¹²

And applying the exponent outside the bracket - (2) - to this, we have

8² * [(x)¹²]² =   64x²⁴ 

-2(u – 8) = -4

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So, we want to solve for u........first, divide both sides by -2......we have

u - 8  = 2      add 8 to both sides

u = 10

if (x -5) to the second power + (y + 2)to the second power = 64 what is the radius

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So we have (x - 5)² + (y + 2)² = 64

The general equation of a circle is

(x - h)² + (y - k)² = r²      Where the center is (h,k) and r is the radius.

So, in our question, r² = 64

Taking the (positive) square root of both sides, we have

r = 8

Find the two missing fractions.

1/3, 2/12, x/x, x/x, 5/39

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OK.....the numerators seem to go 1,2,3,4,5

The denominators are a little trickier.

What did we add to 3 to get 12 ??     ⇒ ⇒  ⇒   9

Then, if we added 9 to 12, we'd get 21.

See if you can finish this, now.........

Thanks for that answer BluePhoenix912. I gave you a "thumbs up."

If we wanted to leave it in fractional form, we would have

1/2 x 5/8 = 5/16

factor -16t^2+80t+96

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OK......let's take out any greatest common factor, first.

This is -16.

So, we have

-16(t² - 5t - 6)

Now, we need two numbers that multiply to the last term inside the parenthesis, (-6) and sum to the coefficient on the "t" term, (-5).

The first two that come to my mind would be -6 and +1. I think that's what we need.

So we have

-16(t - 6)(t + 1)

What is 1.3% of 3,500,000

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When we multiply by a percent, we need to "drop" the percent sign and move the decimal two places to the left.

We have 1.3% = .013

New, just multiply this by 3,500,000 to get your answer.

Putting this straight into the on-site calculator, we get......... 146225.75

How many inches in 6 yards

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There are 36 inches in 1 yard

See if you can take it from there.