solve the logarithmic equation.

Question

solve the logarithmic equation.

 

In x + In x^2 = 6

 

(round to the nearest thousandth as needed. Use a comma to separate the answers as needed) 

Answer 1

ln(x)+ln(x^2)=6

ln(x*x^2)=6

ln(x^3)=6

3ln(x)=6

ln(x)=2 means x=e^2

e=2.71828183

2.71828183^2=7.38905

rounded off to thousandths we get 7.389

Answer 2

 ln X + ln X ^2 = 6

 

   ln ( X. X^2)  = ln e⁶

 

 

    X^3 = e⁶

 

    X = e ^{6 ( 1/3) =} e ²

 

 

  Note : Using property of log

 

              log A + log B = log AB        log eⁿ = n