Exponential and Algebraic Equations

The video tutorial covers solving exponential equations by finding a common base, using properties of exponents, and substituting values to find solutions. It also provides information on accessing additional SAT math resources through Patreon and YouTube. The tutorial includes examples of solving equations with two variables and emphasizes efficient problem-solving techniques for time-constrained tests like the SAT.

What is the value of 81 raised to the y over 27 raised to the x if 4y - 3x equals 2?

• 3

• 6

• 9

• 12

Which of the following is a common base for 125 and 25?

• 4

• 2

• 5

• 3

If 3x + 2y equals 4, what is the value of 5 raised to the 3x + 2y?

• 125

• 225

• 525

• 625

Which number is a solution to the equation if 3 times the number plus 1 equals the square root of the number minus 11?

• 8

• 16

• 5

• 20

If 3B equals 15 square root 6 and B is the square root of 6Y, what is the value of Y?

• 15

• 30

• 20

• 25