Email us to get an instant 20% discount on highly effective K-12 Math & English kwizNET Programs!

#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### High School Mathematics3.5 Problems on Logarithms - IX

 Example: Find the value of log3/4 (243/1024). Solution: Let log3/4 (243/1024) = x Bye definition of logarithm (3/4)x = 243/1024 Factors of 243 = 3*81 = 3 * 3 * 27 = 3 * 3 * 3 * 9 = 3 * 3 * 3 * 3 * 3 243 = 35 Factors of 1024 = 2 * 512 = 2 * 2 * 256 = 2 * 2 * 2 * 128 = 2 * 2 * 2 * 2 * 64 = 2 * 2 * 2 * 2 * 2 * 32 = 2 * 2 * 2 * 2 * 2 * 2 * 16 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 8 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 4 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 1024 = 210 = (22)5 = 45 243/1024 = 35 / 45 = (3/4)5 (3/4)x =(3/4)5 Bases are equal so indices are equal. Therefore, x = 5 i.e., log3/4 (243/1024) = 5 Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the value of log7/9 (343/729).5423 Question 2: This question is available to subscribers only!

#### Subscription to kwizNET Learning System offers the following benefits:

• Unrestricted access to grade appropriate lessons, quizzes, & printable worksheets
• Instant scoring of online quizzes
• Progress tracking and award certificates to keep your student motivated
• Unlimited practice with auto-generated 'WIZ MATH' quizzes