Asked by Meg
how would you simplify log10^x3 ?
i tried the examples from the book, but it just confuses me. someone please help.
i tried the examples from the book, but it just confuses me. someone please help.
Answers
Answered by
Dr Russ
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
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
Answered by
Reiny
I read that as
log<sub>10</sub> 10<sup>x<sup>3</sup></sup>
= x^3(log 10)
= x^3
log<sub>10</sub> 10<sup>x<sup>3</sup></sup>
= x^3(log 10)
= x^3
Answered by
Dr Russ
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.