Logarithmic to Exponential Form A Write log 3

Logarithmic to Exponential Form A. Write log 3 9 = 2 in exponential form. log 3 9 = 2 → 9 = 32 Answer: 9 = 32

Logarithmic to Exponential Form B. Write Answer: in exponential form.

A. What is log 2 8 = 3 written in exponential form? A. 83 = 2 B. 23 = 8 C. 32 = 8 D. 28 = 3

B. What is A. B. C. D. – 2 written in exponential form?

Exponential to Logarithmic Form A. Write 53 = 125 in logarithmic form. 53 = 125 → log 5 125 = 3 Answer: log 5 125 = 3

Exponential to Logarithmic Form B. Write Answer: in logarithmic form.

A. What is 34 = 81 written in logarithmic form? A. log 3 81 = 4 B. log 4 81 = 3 C. log 81 3 = 4 D. log 3 4 = 81

B. What is A. B. C. D. written in logarithmic form?

Evaluate Logarithmic Expressions Evaluate log 3 243 = y 243 = 3 y 35 = 3 y 5 =y Let the logarithm equal y. Definition of logarithm 243 = 35 Property of Equality for Exponential Functions Answer: So, log 3 243 = 5.

Evaluate log 10 1000. A. B. 3 C. 30 D. 10, 000

Graph Logarithmic Functions A. Graph the function f(x) = log 3 x. Step 1 Identify the base. b=3 Step 2 Determine points on the graph. Because 3 > 1, use the points (1, 0), and (b, 1). Step 3 Plot the points and sketch the graph.

Graph Logarithmic Functions (1, 0) (b, 1) → (3, 1) Answer:

Graph Logarithmic Functions B. Graph the function Step 1 Identify the base. Step 2 Determine points on the graph.

Graph Logarithmic Functions Step 3 Answer: Sketch the graph.

A. Graph the function f(x) = log 5 x. A. B. C. D.

B. Graph the function A. B. C. D. .

Graph Logarithmic Functions This represents a transformation of the graph f(x) = log 6 x. ● : The graph is compressed vertically. ● h = 0: There is no horizontal shift. ● k = – 1: The graph is translated 1 unit down.

Graph Logarithmic Functions Answer:

Graph Logarithmic Functions ● |a| = 4: The graph is stretched vertically. ● h = – 2: The graph is translated 2 units to the left. ● k = 0: There is no vertical shift.

Graph Logarithmic Functions Answer:

A. B. C. D.

A. B. C. D.