Exponential & Logarithmic Functions Solve the given exponential equation. 1) 35 x 3  3x 5 [PT 99-25] 3) 27 x 1  93 x 2) 9 x  3x3 2 4x 4) 2 x  64 4 5) 16 x 1  8x 2 1 Write each log in exponential form. 6) log4 64 = 3 7) log3 (1/3) = -1 9) log8 ½ = -1/3 10) log3 1 = 0 8) log16 8 = ¾ Write each exponential in log form. 11) 26  64 14) 7  1 0 12) 103  1000 1 4 15) 5  4 5 13) 27  2 3  1 9 Evaluate the given log. 16) log3 81 17) log6 (1/36) 19) log9 (-27) 20) log5 (log3 243) Solve the given log equation for x, y, or b. 21) log2 x = 5 22) log4 (1/64) = y 24) logb (1/8) = -3 25) logb 1 = 0 18) log8 4 23) log8 32 = y 2) x=3 3) x=-1 4) x=-1, 3 5) x=1/3, 1 6) 43=64 7) 3-1=1/3 1 3  1 1 2 4 8) 16  8 9) 8 3  10) 30 = 1 11) log2 64 = 6 12) log 1000 = 3 13) log 27   9 3 2 1 14) log7 1 = 0 15) log 5 4 5  16) 4 17) -2 18) 2/3 19) not defined 20) 1 4 21) x = 32 22) y = -3 23) y = 5/3 24) b = 2 25) b is any positive real number Answers: 1) x=2

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