I have come to this stage from solving a logarithm question. Can't seem to proceed. Please help.
6^z+3^z = 2^z
3^z.2^z +3^z = 2^z
3^z = 2^z / (2^z + 2^0)
How can I find the value of z from here?
More observation than guess and check.
You could play around and see what you can whip up.
Divide by :
Now, since 1+2=3, z must equal -1.
Just playing around, you can always try other things.
Look into the Lambert W function for tricky exponent problems.