Respuesta :

mhanifa

Answer:

  • [tex]1.75+0.25log_{10}a[/tex]

Step-by-step explanation:

Given:

  • [tex]x =\sqrt{10\sqrt{10a} } /0.1[/tex]

Simplify:

  • [tex]x =\sqrt[4]{10^210a} /0.1[/tex]
  • [tex]x =10\sqrt[4]{10^3a}[/tex]
  • [tex]x=10^{1+3/4}a^{1/4}[/tex]
  • [tex]x=10^{1.75}a^{0.25}[/tex]

log both sides:

  • [tex]log_{10}x=log_{10}(10^{1.75}a^{0.25})[/tex]
  • [tex]log_{10}x=log_{10}10^{1.75} +log_{10}a^{0.25}[/tex]
  • [tex]log_{10}x=1.75 + 0.25log_{10}a[/tex]