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Rita wants to buy sweater that was originally priced at $25 today the sweater is on sale for 40% off the original price what is the sale price of the sweater. rita has a coupon for an addition 10% off the sale price. how much will rita pay for the sweater before taxes

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Solve 2^x=32 and rewrite this equation in a logarithmic form