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

Dolly Robinson

Dolly Robinson

Answered question

2021-02-26

Solve the equation.
logx(164xx2)=2

Answer & Explanation

sovienesY

sovienesY

Skilled2021-02-28Added 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.

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