![]() log 5 8a 7 log 5 (8a 7)1/2 Rewrite the radical with a fractional exponent. 2log 2 a + log 2 b log 2 c Use the Power Rule for Logarithms The answer is 2log 2 a + log 2 b log 2 c. log 2 a 2 + log 2 b log 2 c Use the Product Rule for Logarithms. We will learn later how to change the base of any logarithm before condensing. 2 c Use the Quotient Rule for Logarithms. ![]() Logarithmic functions do not have the one-to-one property. A logistic function is shown on a graph that changes rapidly and then has a horizontal asymptote. It is important to remember that the logarithms must have the same base to be combined. Exponential models apply to any situation where the change is proportional to the initial size of the quantity being considered. ![]() We can use the rules of logarithms we just learned to condense sums, differences, and products with the same base as a single logarithm. 2 years if the interest is compounded as follows: monthly oqc 1200(1+ If 250 mg of ibuprofen has a half-life of 3 hours, bloodstream after the following: 7 hours continuously e then how much ibuprofen is in a persons t hours You deposit money into an account that pays 2.25 annual interest, compounded quarterly. = 6 l o g 6 2 + 3 l o g 6 x + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Apply the Power Rule. The water pressure at ground level in the hose is closest to which of the following values The density of water is 1000 kg/m3. = l o g 6 2 6 + l o g 6 x 3 + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Simplify by writing 64 as 2 6. A water-filled hose that is 2.0 cm in diameter extends from the bottom of the tank to the ground, but no water is flowing in this hose. L o g 6 ( 64 x 3 ( 4 x + 1 ) ( 2 x − 1 ) ) = l o g 6 64 + l o g 6 x 3 + l o g 6 ( 4 x + 1 ) − l o g 6 ( 2 x − 1 ) Apply the Quotient and Product Rules.
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