ࡱ> ')&u bjbjqq 4.ee dw/!f----444  $"7%Z 44444 -- 4 -- 4 rFTF ->F  0/!%(%F %F T4444444 444/!4444%444444444 : Write equation  QUOTE   = 300 in its equivalent logarithmic form. Solution: Equivalent logarithmic form will be  EMBED Equation.3  Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator  QUOTE    QUOTE   Solution:  EMBED Equation.3  Answer:  EMBED Equation.3  Use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions with out a calculator. 5  QUOTE   x + 6  QUOTE   y Solution:  EMBED Equation.3  Answer:  EMBED Equation.3  Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places  QUOTE  57.2 Solution:  QUOTE  57.2 = log(57.2)/log(16) = 1.4595 Answer: 1.4595 The loudness level of a sound can be expressed by comparing the sounds intensity to the intensity of a sound barely audible to the human ear. The formula D=10( log I - log  QUOTE  ) describes the loudness level of a sound, in watts per  QUOTE  , and  QUOTE   is the intensity of a sound barely audible to the human ear. Express the formula so that the expression in parentheses is written as a single logarithm. Solution: D=10( log I - log  QUOTE  )  EMBED Equation.3  Use the form of the formula from part (a) to answer this question: If sound has an intensity 100 times the intensity of a softer sound, how much larger on the decibel scale is the loudness level of the more intense sound? Solution:  EMBED Equation.3  watts per  QUOTE   Answer: 20 watts per  QUOTE   The formula t=  QUOTE  [1n A 1n(A N)]describes the time t, in weeks, that it takes to achieve mastery of a portion of a task, where A is the maximum learning possible, N is the portion of the learning that is to be achieved, and c is a constant used to measure and individuals learning style. Express the formula so that the expression in brackets is written as a single logarithm. Solution:  EMBED Equation.3  The formula is also used to determine how long it will take chimpanzee and apes to master a task. For example, a typical chimpanzee learning sign language can master a max of 65 signs. Use the formula from part (a) to answer this question. How many weeks will it take a chimpanzee to master 30 signs if c for that chimp is 0.03? 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