Posted by **TC** on Sunday, November 6, 2011 at 10:08am.

Find value of

log (base 8)log (base 2) log (base 3)log (base 3) (27)^3

I endedup with 1.000063462 which was wrong

- algebra -
**MathMate**, Sunday, November 6, 2011 at 10:26am
If you want to use a calculator to evaluate the above expression, you will need to understand the above expression is evaluated from right to left, so appropriate sets of parentheses must be inserted.

In fact, the above expression can be evaluated mentally to a simple fraction.

log (base 8)log (base 2) log (base 3)log (base 3) (27)^3

should be written as follows (square brackets have been inserted):

log (base 8) [log (base 2) [ log (base 3) [ log (base 3) (27)^3 ] ] ]

Start evaluating from the innermost set of brackets outwards.

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