Math, asked by fairwellspeech3571, 9 months ago

If x^a=y^b=z^c and y^3=xz show that 3/b =1/a+1/c

Answers

Answered by pulakmath007
6

Answer:

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Answered by durgeshshrivastav205
0

Step-by-step explanation:

here

x^a=y^b=z^c = k (suppose)

Now,

x^a =k

x = k^1\a

y = k^1/b

z =k^1\c

we know,

y^3 = xz

(k^1\b)^3 = k^1\a × k^1\c

k^3\b= k^(1\a + 1\c)

3/b = 1\a + 1\c

which is proved

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