solve the logarithmic equation.

Question

solve the logarithmic equation.

 

Log(4x^2) = 1

 

(Round to the nearest hundredth as needed. Use a comma to sepreate answers as needed)

Answer 1

log(4x^2) = 1

 

4x^2 > 0 => x > 0

 

10^1 = 4x^2

 

x^2 = 10/4 = 5/2

 

x = √(5/2) ≈ 1.58113883008419 ≈ 1.58

Answer 2

 Log 4X^2 = 1 = log 10

 

  4 X^2 = 10

 

    X^2 = 10/4

 

    X = ±√(10) / 2