Posted by **Abby M.** on Saturday, January 13, 2007 at 1:10am.

How do I rewrite log4 1=0 as an equivalent exponential equation? How do I rewrite 4 to the -2 power = 1/16 as an equivalent logarithmic equation? Any help is greatly appreciated.

If 4 is the BASE of the logarithm, then

log (1) = 0 means

...4

4^0 = 1

4^(-2) = 1/16 can be written

log (1/16) = -2

...4

I wrote the number 4, the base of the logarithms in the case, on a lower line, since I don't know how to type subscripts here.