how would you simplify log10^x3 ?

Question

i tried the examples from the book, but it just confuses me. someone please help.

Answer 1

log10(10^3) = 3

or you could put

log(10^3)=log(10)+log(10)+log(10)

which is 3xlog(10)

and as log(10)=1

so log(10^3)=3log(10)=3

Answer 2

I read that as

log₁₀ 10^x3
= x^3(log 10)
= x^3

Answer 3

I wasn't sure as some of my students use 10^x3 when they mean 10^3. I think it goes with (incorrectly) using an extra x10 when putting powers of ten into a calculator.