Math, asked by raghuram18, 11 months ago

loge xy – loge |x| equals to?​

Answers

Answered by Govindthapak
6

Step-by-step explanation:

in this question we are asked to calculate the value of

 log_{e}(xy)  -  log_{e}( |x| )  \\ we \: know \\  log_{e}(mn)  =  log_{e}(m)  +  log_{e}(n)  \\ now \\  log_{e}(xy)  =  log_{e}(x)  +  log_{e}(y)  \\  log_{e}(x)  +  log_{e}(y)  -   log_{e}( |x| )  \\  log_{e}(x)  +  log_{e}(y)  -  log_{e}(x)  \\  log_{e}(y)

hence we can calculate the value of given data and the answer is

log_{e}(y)

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