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Tutorial - Evaluate a Log with a Larger Base Than the Value Without a Calculator

Tutorial - Evaluate a Log with a Larger Base Than the Value Without a Calculator

Assessment

Interactive Video

Mathematics

11th Grade - University

Practice Problem

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to solve a logarithmic problem involving log base 6 of 216 by determining the exponent that makes 6 raised to that power equal 216. It then reverses the problem to find what power 216 must be raised to equal 6. The instructor demonstrates using the one-to-one property of exponents to solve the equation and concludes by showing how to evaluate the logarithm without a calculator.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of log base 6 of 216?

4

5

3

2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If 6 raised to the third power equals 216, what does this imply about the logarithmic expression?

It equals 4

It equals 2

It equals 3

It equals 5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can 216 be rewritten to solve the equation 216^x = 6?

As 6^4

As 6^3

As 6^2

As 6^5

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What property allows us to equate the exponents when the bases are the same?

Quotient rule

Power rule

One-to-one property

Product rule

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x in the equation 6^(3x) = 6^1?

1/5

1/3

1/2

1/4

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