How do you calculate $log_4 57$ with a calculator?

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Answer 1 · 2016-08-30T21:41:46

$x = 2.916$

Log form and index form are interchangeable.

$log_a b = c hArr a^c = b$

$log_4 57 = x hArr 4^x = 57 larr$ (x is between 2 and 3)

The variable is in the index - use logs:

$xlog4 = log57$

$x = log57/log4$

$x = 2.916 larr$ (as we expected)

The same result would have been obtained from the change of base law.

How do you calculate log_4 57log_4 57 with a calculator?