Emmanuel is working on a research project about the growth of yeast cells in a lab culture. He observes that the yeast population decreases at certain times due to environmental factors. To calculate the time it takes for the yeast population to decrease to half its size, which mathematical operation should he use?

Calculate the logarithm of the population using the decay rate as the base

Divide the time by the decay rate

Multiply the initial population by the decay rate

Raise the decay rate to the power of time

Exponential and Logarithm Conversion

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 12 pts

Logarithmic functions are the inverse of...

Linear Functions

Exponential Functions

Quadratic Functions

Polynomial Functions

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

How are exponentials and logarithms related?

They're cousins

They're inverses

They're not related

They're reciprocals

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 12 pts

What is the base?

Tags

CCSS.HSF.BF.B.5

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Rewrite in exponential form.

Tags

CCSS.HSF.BF.B.5

DROPDOWN QUESTION

1 min • 1 pt

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Tags

CCSS.HSF.BF.B.5

DROPDOWN QUESTION

1 min • 1 pt

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Tags

CCSS.HSF.BF.B.5

DROPDOWN QUESTION

1 min • 1 pt

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Tags

CCSS.HSF.BF.B.5

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Exponential and Logarithm Conversion

Logarithmic functions are the inverse of...

How are exponentials and logarithms related?

What is the base?

Rewrite in exponential form.

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Match each exponential expression to its equivalent logarithmic form.

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Rewrite the equation into logarithmic form:
6² = 36

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Discover more resources for Mathematics

Exponential and Logarithm Conversion

Logarithmic functions are the inverse of...

How are exponentials and logarithms related?

What is the base?

Rewrite in exponential form.

Given log20 0.05 = x, Complete the steps to evaluate by using exponential form. ​Step 1 (Rewrite in exponential form): ​ (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b) Step 3 (reduce the fraction): ​ (c) Step 4 (rewrite as an exponent): ​ (d) Answer: ​ (e)

Given log20 0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): ​ (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b) Step 3 (reduce the fraction): ​ (c) Step 4 (rewrite as an exponent): ​ (d) Answer: ​ (e)

Given log20 0.05 = x, Complete the steps to evaluate by using exponential form. ​Step 1 (Rewrite in exponential form): ​ (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b) Step 3 (reduce the fraction): ​ (c) Step 4 (rewrite as an exponent): ​ (d) Answer: ​ (e)

Match each exponential expression to its equivalent logarithmic form.

Given log20 0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): ​ (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = ​ (b) Step 3 (reduce the fraction): ​ (c) Step 4 (rewrite as an exponent): ​ (d) Answer: ​ (e)

Rewrite the equation into logarithmic form:62 = 36

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Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Given log₂₀0.05 = x, Complete the steps to evaluate by using exponential form. Step 1 (Rewrite in exponential form): (a) = 0.05 Step 2 (rewrite the decimal as a fraction): 0.05 = (b) Step 3 (reduce the fraction): (c) Step 4 (rewrite as an exponent): (d) Answer: (e)

Rewrite the equation into logarithmic form:
6² = 36