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plz solve both the question... i got stuck on both these help me by solving both of them

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Asked by futureisbright051101 5th April 2018, 6:10 PM
Answered by Expert
Answer:
begin mathsize 16px style open vertical bar table row cell log space straight a end cell straight p 1 row cell log space straight b end cell straight q 1 row cell log space straight c end cell straight r 1 end table close vertical bar
According space to space the space question
straight a equals mn to the power of straight p minus 1 end exponent comma space straight b equals mn to the power of straight q minus 1 end exponent comma space straight c equals mn to the power of straight r minus 1 end exponent
rightwards double arrow log space straight a space equals space log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n comma space log space straight b equals log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n comma space log space straight c equals log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n
rightwards double arrow open vertical bar table row cell log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n end cell straight p 1 row cell log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n end cell straight q 1 row cell log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n end cell straight r 1 end table close vertical bar
straight C subscript 2 minus straight C subscript 3
rightwards double arrow open vertical bar table row cell log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n end cell cell straight p minus 1 end cell 1 row cell log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n end cell cell straight q minus 1 end cell 1 row cell log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n end cell cell straight r minus 1 end cell 1 end table close vertical bar
straight C subscript 1 space minus space open parentheses log space straight m close parentheses straight C subscript 3 space minus open parentheses space log space straight n close parentheses space straight C subscript 2
rightwards double arrow open vertical bar table row 0 cell straight p minus 1 end cell 1 row 0 cell straight q minus 1 end cell 1 row 0 cell straight r minus 1 end cell 1 end table close vertical bar equals 0 end stylebegin mathsize 16px style open vertical bar table row cell log space straight a end cell straight p 1 row cell log space straight b end cell straight q 1 row cell log space straight c end cell straight r 1 end table close vertical bar
According space to space the space question
straight a equals mn to the power of straight p minus 1 end exponent comma space straight b equals mn to the power of straight q minus 1 end exponent comma space straight c equals mn to the power of straight r minus 1 end exponent
rightwards double arrow log space straight a space equals space log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n comma space log space straight b equals log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n comma space log space straight c equals log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n
rightwards double arrow open vertical bar table row cell log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n end cell straight p 1 row cell log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n end cell straight q 1 row cell log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n end cell straight r 1 end table close vertical bar
straight C subscript 2 minus straight C subscript 3
rightwards double arrow open vertical bar table row cell log space straight m space plus space left parenthesis straight p minus 1 right parenthesis log space straight n end cell cell straight p minus 1 end cell 1 row cell log space straight m space plus space left parenthesis straight q minus 1 right parenthesis log space straight n end cell cell straight q minus 1 end cell 1 row cell log space straight m space plus left parenthesis straight r minus 1 right parenthesis log space straight n end cell cell straight r minus 1 end cell 1 end table close vertical bar
straight C subscript 1 space minus space open parentheses log space straight m close parentheses straight C subscript 3 space minus open parentheses space log space straight n close parentheses space straight C subscript 2
rightwards double arrow open vertical bar table row 0 cell straight p minus 1 end cell 1 row 0 cell straight q minus 1 end cell 1 row 0 cell straight r minus 1 end cell 1 end table close vertical bar equals 0 end style
Answered by Expert 6th April 2018, 9:16 AM
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