### All SAT II Math II Resources

## Example Questions

### Example Question #1 : Exponents And Logarithms

Solve for :

Give the solution to the nearest hundredth.

**Possible Answers:**

**Correct answer:**

One way is to take the common logarithm of both sides and solve:

### Example Question #2 : Exponents And Logarithms

Solve for :

Give your answer to the nearest hundredth.

**Possible Answers:**

'

**Correct answer:**

'

Take the common logarithm of both sides and solve for :

### Example Question #3 : Exponents And Logarithms

Solve for :

Give your answer to the nearest hundredth.

**Possible Answers:**

The equation has no solution.

**Correct answer:**

Take the common logarithm of both sides and solve for :

### Example Question #4 : Exponents And Logarithms

Solve for :

Give your answer to the nearest hundredth.

**Possible Answers:**

The equation has no solution.

**Correct answer:**

Take the natural logarithm of both sides and solve for :

### Example Question #1 : Exponents And Logarithms

To the nearest hundredth, solve for :

**Possible Answers:**

**Correct answer:**

Take the common logarithm of both sides, then solve the resulting linear equation.

### Example Question #6 : Exponents And Logarithms

To the nearest hundredth, solve for :

**Possible Answers:**

The equation has no solution.

**Correct answer:**

Take the common logarithm of both sides, then solve the resulting linear equation.

### Example Question #7 : Exponents And Logarithms

Solve for :

**Possible Answers:**

**Correct answer:**

Take the common logarithm of both sides:

### Example Question #8 : Exponents And Logarithms

Solve for :

**Possible Answers:**

**Correct answer:**

The base of the common logarithm is 10, so

The sum of three logarithms is the logarithm of the product of the three powers, so:

Therefore,

### Example Question #9 : Exponents And Logarithms

To the nearest hundredth, solve for :

**Possible Answers:**

**Correct answer:**

### Example Question #1 : Exponents And Logarithms

Solve for :

**Possible Answers:**

The equation has no solution

**Correct answer:**

The base of the common logarithm is 10, so

The sum of logarithms is the logarithm of the product of the three powers, and the difference of logarithms is the logarithm of the quotient of their powers. Therefore,