jiangtony99 jiangtony99
  • 01-08-2018
  • Mathematics
contestada

if 10-10ˣ=9.9, find x

Respuesta :

rejkjavik rejkjavik
  • 01-08-2018

we are given

[tex] 10-10^x=9.9 [/tex]

we can move 10 on right side

[tex] -10^x=9.9-10 [/tex]

[tex] -10^x=-0.1 [/tex]

we cancel -1

[tex] 10^x=0.1 [/tex]

we can rewrite right side

[tex] 10^x=10^{-1} [/tex]

we can compare exponents

and we get

[tex] x=-1 [/tex].............Answer

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