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log loga64 = 6, a= log381= = 3 log37 log25 + log27 = log2 log764 - 2log74 + log75 = log7 log35 = log5 log3 x + log3 16 – log3 4 = 2 1 logb loga25 -loga3 + loga6x = loga - logb11 + logb7 = logb35a log3 82x = 64,x = 2( 32x - 1 + 2 ) - 3 = 55 3( 2x+6 ) = 48 x = x = Solve:ln( 3x - 2 ) + ln( x - 1 ) = 2lnx x = log2 x + log2 ( x +4 ) -log2(x - 2) = 4 x = and x = (smaller root) (bigger root) Given that log2 (32x / 8y) can be written as px + qy, q = p = Find the approximate value of the expression log 16 160 0.50 1.83 10.00 2.20 A single-celled bacterium divides every hour. The number of N bacteria after t hours is given by the formula log2N = t. After how many hours will there be 64 bacteria? hours t = Solve: 4 ( 22t ) - 9 ( 2t ) + 2 = 0 (smaller solution) t = (bigger solution) Solve x = 9x-1= 3-2x Solve: ex+3=1/e2 -5 -1 5 1 102log6x= 12x 36x2 6x 6x2 Your new car cost $32,000 but it depreciates in value by about 10% each year. a) How much will your car be worth in 1 years? b) in 3 years ? Solve: x = x = (smaller solution) x = x = (bigger solution) |