Asked by Meg

how would you simplify log10^x3 ?
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
Answered by Reiny
I read that as

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.

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