1 2 Solve. Expand log3 (27x)2 logx 512 = 3 2log327 + 2log3x x=8 OR 6 + 2log3x 3 Solve. log8 (3x - 6) = log8 (9x + 23) No Solution 4 Find the inverse. y = log 4 (4x) y = 4x-1 1 5 Solve for x. Leave in Calculator Ready Form. 6 3x = 72 53x = 37 log 72 = x log 3 7 x = log 37 3 log 5 8 Evaluate 7 2 Solve for m. -6 log4(m + 5) = -6 m = -1 OR log 37 log 125 Condense 1 log 25 5 log a 2 log 2 8√2 9 Solve for x. log5a 5 10 Solve for x. log57 – log5 (x – 9) = log56 x = 61 6 2 11 Solve for a. 12 log16 (a2 – 9) = log16(-5a – 3) Evaluate given log 3 = 0.48 and log 4 = 0.60 log 240 a = -6 13 Find the inverse. 2.38 14 y = 3x+2 Solve. log9(x + 3) = log92x y = -2 + log3x 15 x=3 16 Simplify. log 5 2log 2 (2 2 ) 5 Evaluate log 7 1 2401 -4 3 17 19 18 Evaluate Solve for x. log15 225 7x = 23.4 2 log 23.4 = x log 7 20 Solve. Evaluate log 6 1296 log7 (x2 - 5) = log7 (59) 4 x 8 21 Expand 22 x log 9 log x – log 9 Condense 1 log x 3 log y log z 3 xy 3 log 3 z ∙ 4
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