Question

If 2^a = 5^b = 10^c , prove that 1/a+1/b=1/c

Answer 1

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Step-by-step explanation:

ANSWER ::

2^a = 5^b = 10^c = k ( সে)

2 = k ^(1 /a)

5 = k ^(1 /b)

10 = k ^(1 /c)

Now

2 × 5 = 10

So

k ^(1 /a) × k ^(1 /b) = k ^(1 /c)

So

1/a+1/b=1/c