The properties on the left hold for any base a. The properties on the right are restatements of the general properties for the natural logarithm. Many logarithmic expressions may be rewritten, either expanded or condensed, using the three properties above. Expanding is breaking down a complicated expression into simpler components.
Polaris Side by Side ATV Prices. One of the most popular ATV manufacturers is Polaris. They manufacture an entire line of ATVs that range in price from around $8,000 for the Ranger 400 to close to $15,000 for some of the Ranger 800 series.
The base price of the 2013 Polaris Ranger 800 EFI ATV is $11399. This is $216.67 less expensive than its competition.The Longitudinal Twin engine in the 2013 Polaris Ranger 800 EFI ATV has a displacement of 760 cc which is 1.25% more than its competition.The 2013 Polaris Ranger 800 EFI ATV weighs 1237 lbs which is 10.75% less than other UTV models.he 2013 Polaris Ranger 800 EFI ATV weighs 1237 lbs which is 10.75% less than other UTV models.