What is the value of #log_7 648#?

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Answer 1 · 2018-03-30T09:26:14

Like this:

#Log_7(648)=Log_7(7^x)#

So #648=7^x#

However, this has no integer solutions as there is no whole number you can raise 7 to in order to get 648.

Without a calculator, this is a really unpleasant one to solve.

#7^3=343#
#7^4=2401#

So x is between 3 and 4...

Using a calculator the value of is #x approx 3.327#