FLASHCARD - Solving Equations Using Logarithms

FLASHCARD - Solving Equations Using Logarithms

Assessment

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Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number. For example, if b^y = x, then log_b(x) = y.

2.

FLASHCARD QUESTION

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power. In log_b(x), b is the base.

3.

FLASHCARD QUESTION

Front

What is the natural logarithm?

Back

The natural logarithm is the logarithm to the base e, where e is approximately equal to 2.718. It is denoted as ln(x).

4.

FLASHCARD QUESTION

Front

What is the relationship between exponents and logarithms?

Back

Logarithms are the inverse operations of exponentiation. If b^y = x, then log_b(x) = y.

5.

FLASHCARD QUESTION

Front

How do you solve the equation e^(x+4) = 12?

Back

Take the natural logarithm of both sides: x + 4 = ln(12), then solve for x: x = ln(12) - 4.

6.

FLASHCARD QUESTION

Front

What is the definition of log(x) = 1?

Back

This means that x = 10^1, so x = 10.

7.

FLASHCARD QUESTION

Front

How do you solve log(x + 6) = 1?

Back

Convert to exponential form: x + 6 = 10^1, so x = 10 - 6 = 4.

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