Math, asked by Krishna123866, 11 months ago

Solve it...
I request you that
Solve it on paper and click the pic and send it.
Solve it By step by step
If the answer is correct
I will mark it as brainist​

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Answers

Answered by dnavneetk9549
1

Answer:

Step-by-step explanation:

x = 1 + loga bc can be written as 1 + log bc / log a which again after calculation comes as

(log a + log bc ) / log a = log abc / log a => log a abc

means  x= log abc to base a

same way

y = log abc to base b

z = log abc to base c

1/x = log a to base abc

1/y = log b to base abc

1/z = log c to base abc

here base is now common , just when we add 1/x + 1/y + 1/z = xy + yz + zx / xyz

we will calculate this value

1/x + 1/y + 1/z = log abc a + log abc b + log abc c

(xy + yz + zx ) /xyz = log abc abc

(xy + yz + zx ) /xyz = 1

xy/xyz +yz/xyz + zx/xyz =1

1/z + 1/x +1/y = 1

⇒x^-1 +y^-1 +z^-1 = 1

hence proved

i m sorry i didnt solved it on paper

but ya hope it helps!!!!!!!!!!

please mark as brainliest if u think this helped u in anyway

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