Question 280462
<pre>
This one looked easy but it's got me confused please help and thank you.
Use the laws of logarithms to express log base2 6 - log base 2 3 + 2 log base 2 sqrt8 as a single logarithm
then evaluate. I got this far log base 2^6 - log base2^3 +2 log base 2 sqrt 8 =log base 2 6/3 sqrt8^2??? help
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{{{log (2, (6)) - log (2, (3)) + 2*log (2, (sqrt(8)))}}}
{{{log (2, (6)) - log (2, (3)) + log (2, (sqrt(8))^2)}}}
{{{log (2, (6)) - log (2, (3)) + log (2, (8))}}}
{{{log (2, ((6/3)8)) = log (2, ((2cross(6)/cross(3))8)) = log (2, (16)) = log (highlight_green(2), (highlight_green(2)^highlight(4))) = highlight(4)}}}</pre>