Logarithmic and Exponential Review

Logarithmic and Exponential Review

Assessment

Flashcard

Mathematics

11th - 12th Grade

Practice Problem

Hard

CCSS
HSF.BF.B.5, HSF-IF.C.7E, HSF-LE.A.1A

+1

Standards-aligned

Created by

Wayground Content

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16 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number. For example, if b^y = x, then log_b(x) = y.

Tags

CCSS.HSF.BF.B.5

2.

FLASHCARD QUESTION

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If a^b = c, then log_a(c) = b.

Tags

CCSS.HSF.BF.B.5

3.

FLASHCARD QUESTION

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b), where k is any positive number.

4.

FLASHCARD QUESTION

Front

Evaluate: log_3(81)

Back

4, because 3^4 = 81.

5.

FLASHCARD QUESTION

Front

What is the value of x in the equation 10^x = 20?

Back

x = log_10(20) ≈ 1.301.

Tags

CCSS.HSF.BF.B.5

6.

FLASHCARD QUESTION

Front

Solve for x: 9^(8-x) = 27^(x-3)

Back

x = 5.

7.

FLASHCARD QUESTION

Front

What is an asymptote in the context of exponential functions?

Back

An asymptote is a line that a graph approaches but never touches. For f(x) = 2^(x-1) + 3, the horizontal asymptote is y = 3.

Tags

CCSS.HSF-IF.C.7E

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