EmiLy4444
EmiLy4444 EmiLy4444
  • 15-11-2017
  • Mathematics
contestada

solve for x: 5log(x)=-5

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altavistard
altavistard altavistard
  • 17-11-2017
Write the equation 10 = 10.

Raise the left 10 to the power 5 log x and the right 10 to the power -5.

Then we have 

    5 log x           -5
10              = 10

This is the same as  

     log x                1
[10         ]^5 = --------------   or x^5 = [10^(-1)]^5
                        100000

This reduces to x = 10^(-1), or     x = 1/10  (answer)

Check this result!
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