Question

simplify log 5000. .

Answer 1

Hey there!

log 5000

= log (5*1000)

= log (5*10³)

=log5+log10³

=log5+3log10

=3+log5

hope helped!

Answer 2

log 5000
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→Simplifying -
   
   log 5000
 
 = log (5 * 1000)

=  log (5) + log (1000)             
                                      {∵We know that -                                          }
                                      {            log (m + n) = log m + log n              }

= log (5) + log (10³)

= log (5) + 3 log (10)
                                      { ∵ log $(m)^{n}$ = n log m}

= log (5) + 3 * 1 
                                      { we know that log 10 = 1}

= 3 + log (5)
                      <REQUIRED ANSWER>

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Best of luck ;)
ROYALJATT