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