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Algebra II Videos 107 videos

ACT Math 3.1 Coordinate Geometry
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ACT Math: Coordinate Geometry Drill 3, Problem 1. What shape is shown by the equation in this video?

ACT Math 3.2 Coordinate Geometry
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ACT Math: Coordinate Geometry Drill 3, Problem 2. What is the slope of a line through the points given?

Equations of Circles
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Equations of circles are a no-brainer. If aliens can do it, so can you. All you do is substitute the center of the circle's coordinates into the eq...

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ACT Math 5.4 Intermediate Algebra 787 Views


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Description:

ACT Math: Intermediate Algebra: Drill 5, Problem 4. Which expression is equivalent?

Language:
English Language

Transcript

00:02

Try this shmoopy question on for size.

00:05

Which expression is equivalent to x cubed equals 48?

00:08

And here are the potential answers...

00:12

OKay, The most important part of this problem is understanding the relationship between logarithms

00:17

and exponents.

00:21

If a to the b power equals x, then log base a of x...equals...b.

00:31

In this case, the base of the exponent is x, so the base of the logarithm must be x.

00:38

That leaves us with C or D. The exponent is 3...so we know the answer must be C.

00:42

Answer D would only be correct if we had x to the 48th power equals 3.

00:47

But we don't have that. So the answer is C

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