ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Pre-Algebra Videos 217 videos
Who wants to be a millionaire? In this video, learn about compound interest, interest rates, and the compound interest formula. You'll be buying th...
ACT Math: Pre-Algebra Drill 5, Problem 2. If a and b are prime numbers, how many factors does ab have?
SAT Math 1.4 Algebra and Functions 207 Views
Share It!
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!
Related Videos
SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?
In 2014, the unemployment rate of one county in California was 7%. In another county, the unemployment rate was 11%. Which of the following express...
Angela is making cookies for a bake sale. She expects each batch of her cookies to sell for $40. It costs her $10 to make one batch of cookies, and...