How do you calculate #log_6 83# with a calculator?

1 Answer
Daniel L.
Aug 16, 2016

See explanation.

Explanation:

Usually calculators have decimal logarythm #log# and natural logarythm #ln#. To calculate logarythm of a different base you can use the Base Change formula:

#log_cx=log_bx/log_bc #

In the given example to calculate #log_6 83# you can use the formula:

#log_6 83=log83/log6#

To calculate the value you do the following:

  1. Press #6# and #log# to calculate #log6#.
  2. Put the result in memory.
  3. Press #83#, #log#,#-:#
  4. Recall result calculated in 1. from memory
  5. Press #=# to calculate the result.

Note: I used the decimal logarythm. You can also use natural logarythm in the procedure.

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