ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Basic Operations Videos 58 videos

Operations with Rational Expressions
8687 Views

It's impressive that these expressions are able to stay so rational even when they're having operations performed on them.

Numbers and Operations: Elementary Number Theory
606 Views

Jack and Jill went up the hill to fetch a pail of water. But what happened when they got up there? They’ve been gone an awfully long time…

SAT Math 7.3 Algebra and Functions
318 Views

SAT Math 7.3 Algebra and Functions

See All

SAT Math 1.4 Algebra and Functions 207 Views


Share It!


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!

Related Videos

SAT Math 2.1 Geometry and Measurement
2779 Views

SAT Math 2.1 Geometry and Measurement. What is the measure of angle z in terms of x and y?

SAT Math 9.4 Algebra and Functions
1300 Views

SAT Math 9.4 Algebra and Functions

SAT Math 9.2 Algebra and Functions
377 Views

SAT Math 9.2 Algebra and Functions

SAT Math: Identifying an Equation for the Average of Two Percentages
23 Views

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...

SAT Math: Which Equation Represents Profit?
13 Views

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...