Unit 2B Log and Exponential Review EXTRA PRACTICE

Unit 2B Log and Exponential Review EXTRA PRACTICE

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

Change to Exponential Form: log_6(36) = 2

Back

6^2 = 36

2.

FLASHCARD QUESTION

Front

Solve for x: ln(x - 2) = 3

Back

x = e^3 + 2

3.

FLASHCARD QUESTION

Front

Let h(x) = ln(x) and k(x) = ln(x/2). What is the relationship between the graphs of h and k?

Back

The graph of h is a horizontal dilation of the graph of k by a factor of 1/2.

4.

FLASHCARD QUESTION

Front

Consider the functions h(x) = 3^x and k(x) = 9^(x - 1). What is the x-coordinate of the point of intersection of the graphs of h and k?

Back

2

5.

FLASHCARD QUESTION

Front

Find the x-coordinates of the points of intersection of f(x) = log_{10}(x + 3) + log_{10}(x - 5) and g(x) = log_{10}(3x - 1).

Back

7 only

6.

FLASHCARD QUESTION

Front

Definition: Logarithm

Back

The logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised, to produce a given number.

7.

FLASHCARD QUESTION

Front

Definition: Natural Logarithm (ln)

Back

The natural logarithm is the logarithm to the base e, where e is approximately equal to 2.71828.

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