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approximationx1.58 Rea Watch It Talk to a Tutor 2. O 214 points | Previous Answe

ID: 3061948 • Letter: A

Question

approximationx1.58 Rea Watch It Talk to a Tutor 2. O 214 points | Previous Answers SwokATG13 5.6.003. Find the exact solution and a two-decimal-place approximation for it by using the Law 45-x=6 (a) using the Laws of Logarithms exact solution x = | 3.707519 | x approximate solution x3.71 (b) using the Change of Base Formula exact solution approximate solution x 3.71 x=| 3.707519 |x Need Help? ReadtTalk to a Tuter Save Progress Practice Another Version Submit Answer 1 points SwokATG13 5.6.009. Evaluate using the change of base formula (without a calculator). logs 36 logs 6

Explanation / Answer

(a) 45 - x = 6

=> log4 6 = 5 - x

=> x = 5 - log4 6

Approximate solution = 3.71

(b) Using rule of change of base

x = 5 - log 6 / log 4

Approximate solution = 3.71

Note: The highlighted equations are themselves the exact solutions.