Can't I solve these using my calculator?
If not, can you help me get started? I'm drawing a total blank. Thanks!!
4^x=1/256
and
10^log(3x)=4
It helps if you know that . Then
so x = -4.
To do this if you don't know that little fact:
<-- If you use or ln here then you don't have to use the change of base formula a little further on.
Now let's say you still haven't seen that . Use the change of base formula to change the base to e (or 10 if you desire):
So we have:
which you can plug into your calculator and get that x = -4.
-Dan