!!! P7.2: Logs

Instrukcije

For a review on logarithms, see this video.

For a review on evaluating logs, see this video.

1

Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7

y^{2}=7

2^{y}=7

2^{7}=y

7^{2}=y

1

Write the equivalent exponential equation to the logarithmic equation below.
log_{8}(64)=x
Do not include spaces in your answer.

1

Write the equivalent logarithmic equation to the exponential equation given below.
4^{a}=256

log_{4}(a)=256

log_{a}(4)=256

log_{4}(256)=a

log_{a}(256)=4

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{6}(36)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(32)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{100}(10)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(\frac{1}{16})

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{18}(1)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{243}(27)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(260)

1

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{5}(38)

Review from HW1.

Find the features of the function.

f(x) = 3\cdot(\frac{3}{4})^{x+2}-5

null

1

Classify f(x) as growth or decay.

growth

decay

1

What is the y-intercept of f(x)?
Use (0, y) format. Round decimals to the nearest hundredth.

1

What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.

1

!!! P7.2: Logs

Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below.
log_{8}(64)=x
Do not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.
4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{5}(38)

Classify f(x) as growth or decay.

What is the y-intercept of f(x)?
Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.

Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below.
log_{8}(64)=x
Do not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.
4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{5}(38)

Classify f(x) as growth or decay.

What is the y-intercept of f(x)?
Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.

What is the asymptote?
There should be an = in your answer, no spaces.

What are the end behaviors? (select two)

What is the asymptote?
There should be an = in your answer, no spaces.

What are the end behaviors? (select two)

!!! P7.2: Logs

!!! P7.2: Logs

Which of the following is an equivalent equation to the equation below?log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below. log_{8}(64)=xDo not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{5}(38)

Classify f(x) as growth or decay.

What is the y-intercept of f(x)?Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?Use (x, 0) format. Round decimals to the nearest hundredth.

Which of the following is an equivalent equation to the equation below?log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below. log_{8}(64)=xDo not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.log_{5}(38)

Classify f(x) as growth or decay.

What is the y-intercept of f(x)?Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?Use (x, 0) format. Round decimals to the nearest hundredth.

What is the asymptote?There should be an = in your answer, no spaces.

What are the end behaviors? (select two)

What is the asymptote?There should be an = in your answer, no spaces.

What are the end behaviors? (select two)

Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below.
log_{8}(64)=x
Do not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.
4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{5}(38)

What is the y-intercept of f(x)?
Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.

Which of the following is an equivalent equation to the equation below?
log_{2}(y)=7

Write the equivalent exponential equation to the logarithmic equation below.
log_{8}(64)=x
Do not include spaces in your answer.

Write the equivalent logarithmic equation to the exponential equation given below.
4^{a}=256

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{6}(36)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(32)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{100}(10)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(\frac{1}{16})

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{18}(1)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{243}(27)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{2}(260)

Evaluate the logarithm. Round answers to the nearest tenth when necessary.
log_{5}(38)

What is the y-intercept of f(x)?
Use (0, y) format. Round decimals to the nearest hundredth.

What is the x-intercept of f(x)?
Use (x, 0) format. Round decimals to the nearest hundredth.

What is the asymptote?
There should be an = in your answer, no spaces.

What is the asymptote?
There should be an = in your answer, no spaces.