Solving Exponential & Logarithm Equations

Solving Exponential & Logarithm Equations

Assessment

Flashcard

Mathematics

10th Grade - University

Hard

CCSS
HSF.BF.B.5

Standards-aligned

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent. For example, 2^x = 8.

2.

FLASHCARD QUESTION

Front

How do you convert an exponential equation to logarithmic form?

Back

To convert an exponential equation a^b = c to logarithmic form, use log_a(c) = b.

Tags

CCSS.HSF.BF.B.5

3.

FLASHCARD QUESTION

Front

What is the logarithmic form of 5^3 = 125?

Back

log_5(125) = 3.

Tags

CCSS.HSF.BF.B.5

4.

FLASHCARD QUESTION

Front

What is the property of logarithms that allows you to expand log(a*b)?

Back

log(a*b) = log(a) + log(b).

5.

FLASHCARD QUESTION

Front

What is the property of logarithms that allows you to condense log(a) - log(b)?

Back

log(a) - log(b) = log(a/b).

6.

FLASHCARD QUESTION

Front

How do you solve the equation 3^(-3r) = 3^5?

Back

Set the exponents equal: -3r = 5, then r = -5/3.

7.

FLASHCARD QUESTION

Front

What is the value of log_10(1000)?

Back

log_10(1000) = 3, because 10^3 = 1000.

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