Math, asked by srkamali1326, 7 months ago

if pqr=1 then log r is​

Answers

Answered by sensoumyajit1999
5

Step-by-step explanation:

pqr=1

r=1/pq

On taking log hoth sides we get,

logr = log(1/pq)

logr = log1 - log pq

logr = - log pq

as we know,

nlogm=m^n

logr= log(pq) ^-1 (ans)

Answered by qwmagpies
2

Given: Given expression is pqr=1.

To find: We have to find the value of log r.

Solution:

The expression is pqr=1.

Taking log at both sides of the expression we get-

log(pqr)=log(1)

The multiplication of multiple terms in log result sum of the terms with log and the value of log(1) is 0.

 log(p)  +  log(q) +  log(r)   =  log(1)  \\ log(p)  +  log(q) +  log(r)   = 0 \\   log(r)   = - ( log(p)  +  log(q) ) \\   log(r)   =  - log(pq)

The value of log r is -log(pq).

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