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High School Mathematics3.4 Problems on Logarithms - VIII

 Example: Find the value of logÖa Ö(a6/7). Solution: Let logÖa Ö(a6/7) = x By definition of logarithm, (Öa)x = Ö(a6/7) = (a6/7)1/2 = a6/7 * 1/2 = a3/7 a = Öa * Öa = (Öa)2 (Öa)x = (Öa)2)3/7 = (Öa)2*3/7 (Öa)x = (Öa)6/7 Bases are equal so indices are equal. Therefore, x = 6/7 i.e., logÖa Ö(a6/7) = 6/7 Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the value of logÖa Ö(a6).6435 Q 2: Find the value of logÖa Ö(a16/3).31616/33/16 Q 3: Find the value of logÖa Ö(a8/5).855/88/5 Q 4: Find the value of logÖa Ö(a6/5).5/656/56 Q 5: Find the value of logÖa Ö(a4/3).344/33/4 Q 6: Find the value of logÖa Ö(a7/6).7/676/76 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!