Math, asked by tanmaygeocare1520, 10 months ago

If 2to the power a=3to the power b =6 to the power -c then find the value of 1/a+1/b+1/c

Answers

Answered by gnanasekarsathya546
1

Step-by-step explanation:

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

Similar questions