Please help me understand this!

Question

Solve for x and express your answer as a logarithm.

2(10^3x ) = 24

 

Answer 1

Hello, Mari with an i from Arizona

 

We have 

2( log 10^3x)= 24.             Divide by 2

   log (10^3x)= log 12.       Use log b (m^n)= n log b (m)

 3x log 10= log 12              Log 10 = 1 

  3x (1)= log 12                  Divide by 3

       x = (log 12)/3

       x= (1.0792)/3

        x= .3597

 

I hope this helps.  Just learn the rules for log, and you will see how simple this is.  Good luck.

 

D.Y. Taylor

Answer 2

2(10^3x) = 24

 

ln 10^3x = ln 12

 

3x ln 10 = ln 12

 

3x = ln 12/ln 10

 

x = (1/3)(ln 12/ ln 10)