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If #3^m=81#, then what is #m^3?

1 Answer

Dec 25, 2016

#64#

Explanation:

Sol. 1)
#81=3xx3xx3xx3=3^4#
#3^m=81, => 3^4=81, => m=4#
#=> m^3=4^3=4xx4xx4=64#

Sol.2) take log of both sides:
#3^m=81#
#mlog3=log81#
#=> m=log81/log3=4#
#=> m^3=4^3=4xx4xx4=64#

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