Change of Base Rule

Change of Base Rule

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Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

Multiple Choice

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

$$\log_8200$$  

• $$\log_8200=\frac{\log200}{\log8}\approx2.548$$  

• $$\log_8200=\frac{\log8}{\log200}\approx.392$$  

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

Multiple Choice

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

$$\log_4\left(\frac{1}{100}\right)$$  

• $$\frac{\log\left(\frac{1}{100}\right)}{\log4}\approx3.322$$  

• $$\frac{\log\left(\frac{1}{100}\right)}{\log4}\approx-3.322$$  

• $$\frac{\log4}{\log\left(\frac{1}{100}\right)}\approx-.301$$  

• none of these

Fill in the Blank

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

$$\log_7\left(\frac{3}{5}\right)$$  

Fill in the Blank

Evaluate the logarithm. Round your answer to the nearest thousandth. (3 decimal places)

$$8\log_{\left(\frac{1}{3}\right)}40$$  

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Multiple Choice

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D

Multiple Choice

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D

Multiple Choice

Solve the log by using change of base )

log₄32

• 8

• 5/2

• 2/5

• 3/2

Multiple Choice

Use the change of base rule to rewrite this problem:

log₅75

• log(75)/log(5)

• log(5)/log(75)

Multiple Choice

Use the change of base rule to rewrite this problem:

log₅625

• log(625)/log(5)

• log(5)/log(625)

Poll

How well do you understand Change of base formula?

• I've got this

• I get the set up

• I sort of understand how to calculate

• I'm lost