How do you write the equation #36^(3/2)=216# into logarithmic form?

1 Answer

#36^(3/2)=216 <=> log_36(216)=3/2#


We can convert an exponential expression into a logarithmic one by this general formula:

#a^b=c <=> log_a(c)=b#

On the left, we can say that the number a, multiplied by itself b times, gives a result of c.

On the right, we can say that the number a, to achieve the number c, needs to be multiplied by itself b times.

We can therefore convert:

#36^(3/2)=216 <=> log_36(216)=3/2#