Question 1183187
.
Approximate the logarithm using the properties of logarithms, given the values
logb(2) ≈ 0.3562,

logb(3) ≈ 0.5646,
and
logb(5) ≈ 0.8271.
Round your result to four decimal places.
logb(9000)
~~~~~~~~~~~~~~


<pre>
{{{log(b,(9000))}}} = {{{log(b,(9*1000))}}} = {{{log(b,9)}}} + {{{log(b,1000)}}} = {{{2*log(b,3)}}} = {{{3*log(b,10)}}} = 2*0.5646 + {{{3*(log(b,2) + log(b,5))}}} = 


           = 2*0.5646 + 3*(0.3562 + 0.8271) = 4.6791.      <U>ANSWER</U>
</pre>

Solved.