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𝒍𝒐𝒈 𝟒 𝒍𝒐𝒈 𝟏𝟐 Is the function f x = −3 4 or decay function? 𝑥−1 − 2 an exponential growth 𝒚 = 𝟐𝟓𝟎𝟎𝟎(𝟎. 𝟖𝟓) Is the function f x = decay function? 1 𝑥 ( ) +1 2 an exponential growth or 𝒕 $1114.17 What is the domain and range of the function f x = 5𝑥+3 ? 𝟏𝟎 𝟕 Where is the asymptote of the function y = 𝑙𝑜𝑔4 𝑥 − 1 − 2? Growth Simplify the expression 4(27𝑒 13 𝑥) 3𝑒 7 𝑥 −3 𝒍𝒐𝒈𝟑 𝟓𝟎 Rewrite the 𝑙𝑜𝑔7 343 = 3 as an exponential function. Decay Find the inverse of the function f x = 2𝑥 − 3. Ln 6 + 2 ln x – 4 ln y Find the inverse of the function f x = 6 log x. X=9 You deposit $800 in an account that pays 4% annual interest compounded continuously. What is the balance after 5 years? 𝐥𝐨𝐠 𝟖 𝐥𝐨𝐠 𝟑 A new car costs $25,000. The value of the car decreases by 15% each year. Write an exponential decay model giving the car’s value y (in $) after t years. 𝒚 = 𝒍𝒐𝒈𝟐 (𝒙 + 𝟑) You want to have $3000 in your savings account after 3 years. How much will you need to deposit of the account pays 2.25% annual interest compounded quarterly? 𝟑 𝟕 = 𝟑𝟒𝟑 Expand 𝑙𝑜𝑔7 5𝑥 3 𝑦𝑧 2 . 3 2 6𝑒 𝑥 Expand 6𝑥 2 ln 4 . 𝑦 X = 0.327 Condense 5𝑙𝑜𝑔4 2 + 7𝑙𝑜𝑔4 𝑥 + 4𝑙𝑜𝑔4 𝑦. X = -1 Condense 2 𝑙𝑜𝑔3 20 − 𝑙𝑜𝑔3 4 + 0.5𝑙𝑜𝑔3 4. 𝒙−𝟔 𝒚 = 𝟏𝟎 Rewrite the 𝑙𝑜𝑔3 8 by using the Change-of-Base formula. D: (-∞, +∞) R: (0, +∞) Rewrite the 𝑙𝑜𝑔12 4 by using the Change-of-Base formula. $2804.71 Solve log 7x + 4 = 5. 𝟕 𝟒 𝒍𝒐𝒈𝟒 𝟑𝟐𝒙 𝒚 Solve 𝑙𝑜𝑔6 3𝑥 + 𝑙𝑜𝑔6 𝑥 − 1 = 3. 𝒍𝒐𝒈𝟕 𝟓 + 𝟑𝒍𝒐𝒈𝟕 𝒙 + 𝒍𝒐𝒈𝟕 𝒚 + 𝟐𝒍𝒐𝒈𝟕 𝒛 Solve 3 3𝑥 𝑒 4 − 8 = −6.