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Find the domain of the function. x +5 20) f(x) = 10910 x - 7 Graph the function. 21) f(x) = -3 - In x
Find the domain of the function. x +5 20) f(x) = 10910 x - 7 Graph the function. 21) f(x) = -3 - In x Solve the equation. 22) 3 + 8 In x = 10 Write as the sum and/or difference of logarithms. Express powers as factors. 23) 109 4 [X + 6 x 3 Express as a single logarithm. 24) 3 loga (2x + 1) - 2 loga (2x - 1) + 2 Use the Change-of-Base Formula and a calculator to evaluate the logarithm. Round your answer to three decimal places. 25) 10g , 150.6 Solve the equation. 26) log (3x) = log 4 + log (x - 3) 27) 2+ 1093(2x + 5) - 1093 x = 4 28) 3 . 521 - 1 = 75 Solve the problem. 29) The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A = 3200e0.0591. How much did you initially invest in the account? 30) A fossilized leaf contains 6% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14
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