if-a-3-x-1-b-3-y-2-c-3-z-1-1-5-find-abc-

Question Number 151284 by mathdanisur last updated on 19/Aug/21

if \frac{a}{3^{x - 1}} = \frac{b}{3^{y + 2}} = \frac{c}{3^{z - 1}} = \frac{1}{5}

find abc = ?

Answered by Rasheed.Sindhi last updated on 19/Aug/21

a = \frac{3^{x - 1}}{5}, b = \frac{3^{y + 2}}{5}, c = \frac{3^{z - 1}}{5}

abc = (\frac{3^{x - 1}}{5}) (\frac{3^{y + 2}}{5}) (\frac{3^{z - 1}}{5})

= \frac{3^{(x - 1) + (y + 2) + (z - 1)}}{125} = \frac{3^{x + y + z}}{125}

Commented by mathdanisur last updated on 19/Aug/21

Thankyou Ser

A n s : a) 1 / 125 b) 3 / 125 c) 27 / 125