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.
On May 21, 2010, Polaris announced that it was opening a new manufacturing plant in Mexico. The sister facility in Osceola, WI still remains in full operation. The opening of the Monterrey, Mexico facility is anticipated to save the company $30 million annually, with most of that savings coming from lower wages.tarting in 1995 with the Polaris Magnum 425 4-stroke atv and in 1997, with the introduction of the twin 700 snowmobile engine Polaris started the development and production of in-house produced power plants, known as the Liberty line of engines, now found in many models across their current production lines.