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SAT Math 1.4 Algebra and Functions 207 Views


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Description:

SAT Math 1.4 Algebra and Functions. Solve for x.

Language:
English Language

Transcript

00:02

Here’s your shmoop du jour, brought to you by complex equations.

00:07

If you think solving one is tough, try dating one.

00:11

For the equation: 2 to the power of 2x plus 4 equals 4 to the power of x plus 2...

00:16

Solve for x. And here are your potential answer...

00:21

Interesting...the x's are all in the exponents of this equation...

00:24

…which means we'll be using our basic exponent rules to solve for x.

00:28

Good thing we’ve got those babies in our bag of tricks.

00:31

Ok, so the first thing that's important to notice is that 4 is the same as 2 squared,

00:35

so we can rewrite the second half of our equation as: 2 to the power of 2 times x plus 2.

00:43

2 times x plus 2 equals 2x plus 4... so our equation becomes:

00:47

2 to the 2x plus 4 equals 2 to the 2x plus 4.

00:52

Golly… they’re twins! Aw!

00:55

Ok… what this actually means is that we can substitute

00:58

any real number for x and the equation would be true....

01:07

So D… All real numbers…is our answer.

01:11

Look how adorable they look in matching fisherman hats!

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