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SAT Math Videos 171 videos
SAT Math 1.1 Algebra and Functions. Find an algebraic equation to correspond with the data.
SAT Math 1.1 Geometry and Measurement. What is the circumference of the circle?
SAT Math 1.1 Numbers and Operations. How many combinations of beverage and cereal can be made?
SAT Math 1.4 Algebra and Functions 207 Views
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Description:
SAT Math 1.4 Algebra and Functions. Solve for x.
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...
Full Transcript
- 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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