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 16/25

Ok so here are the proceudures:
for the first one: logb18 = logb 2x3x3
logb 2x3x3 = logb2+ logb3 + logb3
logb18 = .3562 + 2 x .5646
logb18 = 1.4854
For the second one:
logb6 = logb6 + logbB
logb6b = logb2+logb3+logbB
logb6b= .3562 + .5646 + 1
logb6b = 1.9208
And finally for the third one:
Log b 5/2 = logb5 -logb2 
Logb 5/2= .8271 - .3562
Log b 5/2 = .4709
I hope this is what you are looking for