SOLUTION: evaluate Logarithms ln square root 42 what do i do?

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Question 280693: evaluate Logarithms
ln square root 42
what do i do?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
ln%28sqrt%2842%29%29
If your calculator has a "ln" button, then use your calculator to find the square root of 42 and then find the ln of that.

If you have no "ln" button, then you will have to use the base conversion formula to change the ln (base e) logarithm into an expression of base 10 logarithms. The base conversion formula for logarithms is log%28a%2C+%28p%29%29+=+log%28b%2C+%28p%29%29%2Flog%28b%2C+%28q%29%29. Using this to change your base e logarithm into an expression of base 10 logarithms we get:
log%28%28sqrt%2842%29%29%29%2Flog%28%28e%29%29
Now you can use your calculator to:
  1. find sqrt%2842%29
  2. find log%28%28sqrt%2842%29%29%29 using the value you found in step 1.
  3. find log((e)) (using 2.7182818284590451 or a rounded-off version of it) for e
  4. divide the results from steps 2 and 3.