Question 1

Solve for $$x$$: $$3x + 2 = -2(x - 4).$$

Accepted Answer

$$x = -4$$

Question 2

Which of the following is the correct solution to $$2^{x+2}$$ = \left( \frac{1}{4} \$$right)^{x-5}$$?

Accepted Answer

$$x = 2$$

Question 3

Given $$3^{2x-1}$$ = $$27^{x+1}$$, what is the value of $$x$$?

Accepted Answer

$$x = 3$$

Question 4

What is the $$y-$$intercept (key point) of the function $$y = 3$$^{x-2}$$ - 3$$?

Accepted Answer

$$(0, -1)$$

Question 5

For the function $$y = \left( \frac{1}{2} \right)^x + 4$$, what is the horizontal asymptote?

Accepted Answer

$$y = 4$$

Question 6

Which transformation occurs to the graph of $$y = 2^x to $$produce $$y = 2$$^{x+3}$$ - 5$$?

Accepted Answer

Shift left 3 units and down 5 units

Question 7

Solve for $$x$$: $$\log_3$ \left( \frac{1}{27} \right) = x.$$

Accepted Answer

$$x = -3$$

Question 8

If $$\log_{10} x = -5$$, what is the value of $$x$$?

Accepted Answer

$$x = 0.00001$$

Question 9

Solve for $$x$$: $$x^{\frac{2}$${3}} = 25$$.

Accepted Answer

$$x = 125$$

Question 10

Which of the following is the solution to $$(2x + 4$$)^{\frac{2}$${3}} = 64$$?

Accepted Answer

$$x = 4$$

Question 11

What is the value of $$x in$$ $$x^{\frac{3}$${2}} = 32$$?

Accepted Answer

$$x = 64$$

Question 12

Which of the following best describes the domain of $$y = 2$$^{x+3}$$ - 5$$?

Accepted Answer

$$x \in \mathbb{R}$$

Question 13

If $$y = 3$$^{x-2}$$ - 3$$, what is the equation of the horizontal asymptote?

Accepted Answer

$$y = -3$$

Question 14

Which of the following is the correct solution to $$\log_3$ x = 1$$?

Accepted Answer

$$x = 3$$

Question 15

If $$y = \left( \frac{1}{2} \right)^x + 4$$, what is the $$y-$$intercept?

Accepted Answer

$$(0, 5)$$

Exponential and Logarithmic Equations: Mini-Quiz Review

스터디 가이드 - 연습 문제