Question

2^a=3^b=6^c, Show that c=ab/a+b

Answer 1

Answer:

The answer is explained in the image.

Answer 2

Answer:

Step-by-step explanation:

2^a=3^b=6^c, Show that c=ab/a+b

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Let 2^a=3^b=6^c =k  

2 = k^(1/a), 3 = k^(1/b) and 6= k^(1/c)  

2*3=6  

k^(1/a)*k^(1/b) = k^(1/c)  

k^(1/a +a/b)= k^(1/c)  

1/a +a/b = 1/c  

a+b/ab = 1/c  

c= ab/a+b Hence, Proved.

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BY Tolety Roshan