How do you write the equation #log_3 81=4# in exponential form?

2 Answers
Patrick H.
Jun 26, 2018

One logarithmic rule states that #log_a b=x# is the same as #a^x=b#. In our case, #a=3#, #b=81#, and #x=4#. Therefore, our equation in exponential form would read #3^4=81# , which is a true statement.

sjc
Jun 26, 2018

the definition of of a logarithm

#a^c=b=>log_ab=c#

so

#log_3 81=4#

#=>3^4=81#

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