Question

PLEASE HELP WITH STEPS 25 POINTS!!!!

Answer 1

• 
  `1.75+0.25log_(10)a`

Explanation:

Given:

• 
  `x =\sqrt{10√(10a) } /0.1`

Simplify:

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

log both sides:

• 
  `log_(10)x=log_(10)(10^(1.75)a^(0.25))`
• 
  `log_(10)x=log_(10)10^(1.75) +log_(10)a^(0.25)`
• 
  `log_(10)x=1.75 + 0.25log_(10)a`