Question

25. If 2- 34= 122, then show th
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Answer 1

Answer:

Let 2^x = 3^y = 12^z = k

Then:

2 = k^(1/x)

3 = k^(1/y)

12 = k^(1/z)

We know that:

6 = 2 × 3

6 × 2 = 2 × 3 × 2

12 = 2(2) × 3

=> k^(1/z) = 2k^(1/x) × k^(1/y)

Bases same, powers only:

=> 1/z = 2/x + 1/y

hence proved.

Hope it Helps!!