# SAT II Math II : Exponents and Logarithms

## Example Questions

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### Example Question #1 : Exponents And Logarithms

Solve for :

Give the solution to the nearest hundredth.

Explanation:

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.

Explanation:

Take the common logarithm of both sides and solve for :

### Example Question #1 : Exponents And Logarithms

Solve for :

Give your answer to the nearest hundredth.

The equation has no solution.

Explanation:

Take the common logarithm of both sides and solve for :

### Example Question #1 : Exponents And Logarithms

Solve for :

Give your answer to the nearest hundredth.

The equation has no solution.

Explanation:

Take the natural logarithm of both sides and solve for :

### Example Question #5 : Exponents And Logarithms

To the nearest hundredth, solve for :

Explanation:

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 :

The equation has no solution.

Explanation:

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

### Example Question #7 : Exponents And Logarithms

Solve for :

Explanation:

Take the common logarithm of both sides:

### Example Question #8 : Exponents And Logarithms

Solve for :

Explanation:

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 :

Explanation:

Solve for :