How do you calculate #log_6 53# with a calculator?

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Answer 1 · 2016-08-19T11:01:20

#x = 2.216#

Some calculators can do log calculations with bases other than 10.
However, let's assume that we have a calculator which only has log with base 10.

Let # log_6 53 = x" write in index form"#

#6^x = 53" find log of both sides"#

#log6^x = log53#

#xlog6 = log53#

#x = log_10 53/log_10 6#

This is the same result as using the change of base rule.

#x = 2.216#