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### High School Mathematics3.2 Problems on Logarithms - VI

 Example: Find the value of log3Ö381. Solution: let log3Ö381 = x By the definition of logarithm (3Ö3)x = 81 But 3 = Ö3 * Ö3 = (Ö3)2 81 = 3 * 3 * 3 * 3 = 34 = [(Ö3)2]4 = (Ö3)8 (Ö3 . Ö3 . Ö3)x = (Ö3)8 ((Ö3)3)x = (Ö3)8 Bases are equal and so indicies are equal. 3x = 8 Therefore, x = 3/8 i.e.,log3Ö381 = 8/3. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the value of logÖ381.6842 Q 2: Find the value of logÖ264.12846 Q 3: Find the value of logÖ11121.2346 Q 4: Find the value of logÖ5125.6435 Q 5: Find the value of log5Ö5125.5234 Q 6: Find the value of log7Ö7343.3452 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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