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If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x and y is (a)x/y (b)√y/x (c)y^2/x^3 (d)x^3/y^2?
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If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x...
Solution:

Given, 3 log x - 4 log y + 2 log xy = log z

We can simplify the above expression as follows:

=> log x³ - log y⁴ + log (xy)² = log z

=> log (x³)(xy)² / y⁴ = log z

=> log x⁵y² / y⁴ = log z

=> log x⁵ / y² = log z

=> z = x⁵ / y²

Therefore, the answer is (d) x³/y².

Explanation:

To solve this question, we can use the following logarithmic identities:

1. log a + log b = log ab
2. log a - log b = log(a/b)
3. n log a = log aⁿ

Using these identities, we can simplify the given expression as shown above. Finally, we can equate the expression to log z and solve for z to get the answer in terms of x and y.
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If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x and y is (a)x/y (b)√y/x (c)y^2/x^3 (d)x^3/y^2?
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If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x and y is (a)x/y (b)√y/x (c)y^2/x^3 (d)x^3/y^2? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x and y is (a)x/y (b)√y/x (c)y^2/x^3 (d)x^3/y^2? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If 3 log x-4 log y 2 log xy= log z then the value of z in terms of x and y is (a)x/y (b)√y/x (c)y^2/x^3 (d)x^3/y^2?.
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