Please, can someone help?

Evaluate log 1.

This is my work up until I have gotten stuck:

log 1
1=10^x
I can't find a common base for 1 and 10^x.

Wow, my apologies, this is algebra, not chemistry.

but actually I think they use it in chemistry too...

Take the log base 10 of each side.

log 1 = log 10^x
0=x

I don't understand what you mean by taking the log base 10 of each side.

ok so far you had
10^x = 1, but 10^0 =1
so 10^x=10^0
it would be intuitively obvious that x=0

Thank you. I never thought of that.