MathematicsIf x = log 0.6, y = log 1.25 and z = log 3 – 2 log 2, then find the value of x + y – z.

If = log 0.6, y = log 1.25 and = log 3 – 2 log 2, then find the value of + y – z.


  1. A
    0
  2. B
    1
  3. C
    2
  4. D
    3 

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    Solution:

    Concept: To solve the presented problem, we must be familiar with the fundamental logarithmic equations.
    To answer the above problem, apply the product and division rule.
    Given  = log 0.6= log 1.25= log 3 – 2 log 2+ y – z = log 0.6 + log 1.25 – (log 3 – 2 log 2)+ y – z = log (0.6××1.25) – log(3/4)+ y – z = log 0.75 – log 0.75 = 0 The value of x + y – z = 0
    Hence, the correct option is 1.
     
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