Question 1

Provide an appropriate response.
-Given $\log _ { 10 } 2 = 0.3010$ and $\log _ { 10 } 3 = 0.4771$, find $\log _ { 10 } 12$ without using a calculator.

Accepted Answer

A)  $0.2872$ 
B)  $0.5677$ 
C)  $1.0791$ 
D)  $1.2552$ 
A)  $0.2872$ 
B)  $0.5677$ 
C)  $1.0791$ 
D)  $1.2552$

Question 2

Provide an appropriate response.
-The half-life of a radioactive substance is 65 years. If you start with some amount of this substance, what fraction will remain in 132 years?

Accepted Answer

A) 0.24 
B) 0.06 
C) 0.01 
D) 4.09 
A) 0.24 
B) 0.06 
C) 0.01 
D) 4.09

Question 3

Provide an appropriate response.
- $10 ^ { 1.940 }$ is between 10 and 100.

Accepted Answer

A) True 
 B)False

Provide an appropriate response. -Given $\log _ { 10 } 2 = 0.3010$ and $\log _ { 10 } 3 = 0.4771$ , find $\log _ { 10 } 12$ without using a calculator.

Provide an appropriate response. -The half-life of a radioactive substance is 65 years. If you start with some amount of this substance, what fraction will remain in 132 years?

Provide an appropriate response. - $10 ^ { 1.940 }$ is between 10 and 100.

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Probability: Living With the Odds

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Exam 8: Exponential Astonishment

Provide an appropriate response. -Given log⁡102=0.3010\log _ { 10 } 2 = 0.3010log10​2=0.3010 and log⁡103=0.4771\log _ { 10 } 3 = 0.4771log10​3=0.4771 , find log⁡1012\log _ { 10 } 12log10​12 without using a calculator.