### All GRE Subject Test: Math Resources

## Example Questions

### Example Question #1 : Change Of Base

Evaluate:

**Possible Answers:**

**Correct answer:**

Explanation:

In order to evaluate the unknown variable, it is necessary to change the base. Looking at the right side of the equation, 27 is equivalent to three cubed.

Therefore, converting the right side of the equation to a base of 3 will allow setting both the left and right side of the exponential terms equal to each other.

Log both sides to drop the exponents by log properties, and divide the log based 3 on both sides to cancel this term.

Solve for x.

### Example Question #1 : Change Of Base

Evaluate the following logarithm:

**Possible Answers:**

**Correct answer:**

Explanation:

The simplest way to evaluate a logarithm that doesn't have base 10 is with change of base formula:

So we have

### Example Question #3 : Change Of Base

**Possible Answers:**

**Correct answer:**

Explanation:

In order to solve a logarithm, we must first rewrite it in log form:

To solve for x, we must use the Change of Base:

This means that:

Samuel

Certified Tutor

Certified Tutor

SUNY at Binghamton, Bachelors, English. CUNY Queens College, Current Grad Student, Mathematics Education.

Jaroslaw

Certified Tutor

Certified Tutor

Heriot Watt University, Master of Science, Physics. Heriot Watt University, Doctor of Science, Theoretical and Mathematical P...

### All GRE Subject Test: Math Resources

Popular Subjects

SAT Tutoring in Phoenix, LSAT Tutoring in San Diego, MCAT Tutoring in Denver, Algebra Tutoring in Dallas Fort Worth, ISEE Tutoring in Washington DC, French Tutoring in Atlanta, Statistics Tutoring in San Francisco-Bay Area, Math Tutoring in Denver, Reading Tutoring in Philadelphia, SSAT Tutoring in Chicago
Popular Courses & Classes

GRE Courses & Classes in Houston, GMAT Courses & Classes in Miami, Spanish Courses & Classes in New York City, SSAT Courses & Classes in Miami, LSAT Courses & Classes in Boston, MCAT Courses & Classes in Philadelphia, MCAT Courses & Classes in Washington DC, GRE Courses & Classes in Los Angeles, GMAT Courses & Classes in Atlanta, Spanish Courses & Classes in Houston
Popular Test Prep

GMAT Test Prep in Seattle, GMAT Test Prep in Miami, GRE Test Prep in Dallas Fort Worth, GRE Test Prep in Chicago, ISEE Test Prep in Los Angeles, ISEE Test Prep in Washington DC, MCAT Test Prep in Miami, LSAT Test Prep in San Francisco-Bay Area, LSAT Test Prep in Denver, SAT Test Prep in Phoenix