Question 1

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Question 2

Find x in the following equation.  Round the result to four decimal places, if necessary. x = __________

Accepted Answer

The answer of Find x in the following equation. ...

Question 3

Find x in the following equation.  Round the result to the nearest whole number. x = __________

Accepted Answer

The answer of Find x in the following equation. ...

Question 4

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Question 5

Use the properties of logarithms to expand the following expression.

Accepted Answer

Using the property of logarithms that states log(base a) b + log(base a) c = log(base a) bc, we can rewrite the expression as log(base 10) 2 + log(base 10) 5 + log(base 10) 5 - log(base 10) 4. This simplifies to log(base 10) (2*5*5/4), which is equivalent to log(base 10) 25/2. This matches option C.

Question 6

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Question 7

Previously we indicated that the pH of a solution is defined in terms of logarithms as  where  is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95 to three significant digits.

Accepted Answer

The answer of Previously we indicated that the pH of...

Question 8

Simplify the following expression.

Accepted Answer

The answer of Simplify the following expression. ...

Question 9

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:  Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500. Round the result to the nearest tenth of a percent. __________%

Accepted Answer

The answer of The annual rate of depreciation r on...

Question 10

Simplify the following expression.

Accepted Answer

The answer of Simplify the following expression. ...

Question 11

Find x in the following equation.  Round the result to five decimal places, if necessary. x = __________

Accepted Answer

The answer of Find x in the following equation. ...

Question 12

Simplify the following expression.

Accepted Answer

The answer of Simplify the following expression. ...

Question 13

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Question 14

How much larger is the shock wave of an earthquake that measures 9.5 on the Richter scale than one that measures 5.5 on the same scale? __________ times larger

Accepted Answer

The answer of How much larger is the shock wave...

Question 15

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:  The car depreciates in value according to the following depreciation table. AGE IN YEARS VALUE IN DOLLARS new 3 7,750 5,200 Find the annual rate of depreciation. Round the answer to the nearest tenth.

Accepted Answer

The answer of The annual rate of depreciation r on...

Question 16

Simplify the following expression.

Accepted Answer

The answer of Simplify the following expression. 
...

Question 17

Previously we indicated that the pH of a solution is defined in terms of logarithms as  where  is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95.  __________

Accepted Answer

The answer of Previously we indicated that the pH of...

Question 18

How much larger is the shock wave of an earthquake that measures 7.5 on the Richter scale than one that measures 5.5 on the same scale?

Accepted Answer

The Richter scale is logarithmic, meaning each whole number increase on the scale represents a tenfold increase in measured amplitude and roughly 31.6 times more energy release. Therefore, an earthquake measuring 7.5 is 10^(7.5-5.5) = 10^2 = 100 times larger in terms of amplitude than one measuring 5.5.

Question 19

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula:  Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500.

Accepted Answer

The answer of The annual rate of depreciation r on...

Question 20

Find the following logarithm to four decimal places, if necessary.

Accepted Answer

The answer of Find the following logarithm to four decimal...

Quiz 11: Exponential Functions

Find the following logarithm to four decimal places, if necessary.

Find x in the following equation. Round the result to four decimal places, if necessary. x = __________

Find x in the following equation. Round the result to the nearest whole number. x = __________

Find the following logarithm to four decimal places, if necessary.

Use the properties of logarithms to expand the following expression.

Find the following logarithm to four decimal places, if necessary.

Previously we indicated that the pH of a solution is defined in terms of logarithms as where is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95 to three significant digits.

Simplify the following expression.

Simplify the following expression.

Find x in the following equation. Round the result to five decimal places, if necessary. x = __________

Simplify the following expression.

Find the following logarithm to four decimal places, if necessary.

How much larger is the shock wave of an earthquake that measures 9.5 on the Richter scale than one that measures 5.5 on the same scale? __________ times larger

Simplify the following expression.

Previously we indicated that the pH of a solution is defined in terms of logarithms as where is the concentration of the hydrogen ion in that solution. Find the concentration of hydrogen ions in a glass of wine if the pH is 4.95. __________

How much larger is the shock wave of an earthquake that measures 7.5 on the Richter scale than one that measures 5.5 on the same scale?

The annual rate of depreciation r on a car that is purchased for P dollars and is worth W dollars t years later can be found from the formula: Find the annual rate of depreciation on a car that is purchased for $5,000 and sold 4 years later for $2,500.

Find the following logarithm to four decimal places, if necessary.