How do you evaluate $log_27 3$ ?

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Answer 1 · 2016-08-28T21:22:47

$log_27 3 = 1/3$

Try to read log expressions in this form as a question...

$3 " is which power of " 27?$

OR: $"What index of 27 will give "3?$

You should recognise that 3 is the cube root of 27

In index form this is: $27^x = 3$

$root3 (27) = 3 " or 27^(1/3) = 3$ .

$log_27 3 = 1/3$

In the same way try to answer these by inspection:

$log_7 49, " "log_5 125 , " " log_36 6 " " log_32 2$

The answers in reverse order are:
$1/5," " 1/2" " 3, " " 2$

How do you evaluate log_27 3log_27 3?