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

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answer is A.

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Detailed 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

x = \log 0.6 y = \log 1.25 z = \log 3 - 2 \log 2 x + y – z = \log 0.6 + \log 1.25 - (\log 3 - 2 \log 2) x + y – z = \log (0.6 \times \times 1.25) – log (3 / 4) x + 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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