Solve the equation. \log_{x}(16-4x-x^{2})=2

Dolly Robinson 2021-02-26 Answered
Solve the equation.
logx(164xx2)=2
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

sovienesY
Answered 2021-02-28 Author has 89 answers
logx(164xx2)=2
we have to calculate the value of x.
so considering both side as,
x2=164xx2
2x2+4x16=0
2x2+8x4x16=0
2x(x+4)-4(x+4)=0
(2x-4)-4(x+4)=0
(2x-4)(2x+4)=0
x1=4 and x2=42=2
since, negative number cannot be a log function so we not consider x as -4
so, x=2
The value of logx(164xx2)=2 is x=2.
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more