Math, asked by candrasekhargedala, 6 months ago

What is the value of the expression log xy / z) +log (yz/x] + log zx/y.if x=1?​

Answers

Answered by amanraj56
15

Step-by-step explanation:

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Answered by amitnrw
1

Value of the expression log (xy/z) + log(yz/x) + lof(zx/y)  is log (yz) or  log y + log z for x = 1

Given:

log (xy/z) + log(yz/x) + lof(zx/y)

x=1

To Find:

Value of the expression

Solution:

log a + log  b + log  c = log (abc)

Step 1:

Using above formula on log (xy/z) + log(yz/x) + lof(zx/y)

= log (xy . yz . zx / z.x.y )

= log (xyz)

Step 2:

Substitute x = 1

=  log (1.yz)

= log (yz)

= log y + log z

Hence Value of the expression log (xy/z) + log(yz/x) + lof(zx/y)  is  log (yz) or  log y + log z for x = 1

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