How do you calculate $log_5 310$ ?

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Answer 1 · 2016-09-01T13:19:30

$x = 3.564$

$log_5 310 = x$

Change to index form.

$5^x = 310 larr$ variable is in the index log both sides.

$log5^x = log310$

$xlog5 = log310$

$x = log310/log5$

Using a calculator or tables gives:

#x = 3.564

Using the "Change of base law" gives the same result.

$log_a b = (logb)/(loga)$

How do you calculate log_5 310log_5 310?