Question 114008
Remember, if we have the blank equation {{{log(b,(x))=y}}}, then we can write it as {{{b^y=x}}}.So we can apply this property to this problem



{{{log(10,(1000))}}} Start with the given expression. Remember, if the base isn't stated, the base is 10





{{{log(10,(1000))=y}}} Set the expression equal to y. The variable y is arbitrary and doesn't matter, but we need it for this problem.



{{{10^y=1000}}} Rewrite the equation using the first property I mentioned



{{{10^y=10^3}}} Rewrite 1000 as {{{10^3}}}


Since the bases are equal, the exponents are equal. So {{{y=3}}}


This means {{{log(10,(1000))=3}}}