anonymous
  • anonymous
evaluate the following: log5 (1/125)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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myininaya
  • myininaya
[ln1/125]/[ln5]=[ln125^(-1)]/[ln5]=[ln5^(-3)]/[ln5] see if that helps
myininaya
  • myininaya
what do we do next
myininaya
  • myininaya
you can bring that -3 down right? does anything cancel?

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anonymous
  • anonymous
get rid of the exponent?
anonymous
  • anonymous
oh yes i was rite. um the 5's cancel rite?
myininaya
  • myininaya
so we have -3(ln5)/(ln5)=-3 the ln5 cancels
anonymous
  • anonymous
so where left with -3?
anonymous
  • anonymous
hello?
myininaya
  • myininaya
?
laloo
  • laloo
We can write it as \[\log_{5}1-\log_{5}125 \] .................. (1) then we know that logarithm of 1 with any base is zero so the (1) becomes \[0-\log_{5}125\] ................... (2) now we can write this as \[-\log_{5}5^{3}\] ................... (3) now this becomes \[-3\times \log_{5}5 \] ................... (4) and as we know \[\log_{5}5=1 \] ...................... (5) so answer is -3
anonymous
  • anonymous
i got the rite answer :) thankyou!
myininaya
  • myininaya
very good thats what we got above
laloo
  • laloo
But in more simple way. :)

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