Question 1042488
Approximate the logarithm using the properties of logarithms, given logb2=.3562, logb3=.5646, logb5=.8271

logb 12
logb (5b^4)
logb ^8sqrt(3b)
<pre>{{{system(log (b, 2) = .3562, log (b, 3) = .5646, log (b, 5) = .8271)}}}

{{{log (b, 12) = log (b, 3 * 4) = log (b, 3) +  log (b, 4) = log (b, 3) + log (b, 2^2) = log (b, 3) + 2 * log (b, 2)}}} = .5646 + 2(.3562) = .5646 + .7124 = {{{highlight_green(1.277)}}}

{{{log (b, 5b^4) = log (b, 5 * b^4) = log (b, 5) + log (b, b^4) = log (b, 5) + 4 * log (b, b) = .8271 + 4(1)}}} = .8271 + 4 = {{{highlight_green(4.8271)}}}

Don't know what the 3rd one is, but following the same concept, you should be able to figure it out!