University:
Winston-Salem Forsyth County Schools
Course:
AP Pre-Calculus
Academic year:

2014
Views:

35

Pages:

1
Author:

Layla Bonilla

PreCalculusEquations Worksheet 1 Solve by getting each side in terms of the same base. No calculators should be used on this part. 2^x = 64 x = 6 2^(x^2) = 512 x^2 = 9 x = ±3 5^(2x+1) = 125 2x + 1 = 3 x = 1 7^(x^2+x) = 49^-7 x^2 + x - 2 = 0 (x+2)(x-1) = 0 x = -2, 1 2^(-x) = 32 x = -5 9^x = 3 3^(2x) = 3 x = 1/2 9^x = 27 3^(2x) = 3^3 x = 3/2 (1/49)^x = 7 7^(-2x) = 7 -2x = 1 x = -1/2 3^x = 2 3x = 6 x = 2 2^(3x-3) = 2^(x+1) 3x - 3 = x + 1 2x = 4 x = 2 8^x = 2^7 * 4^9 * 2^2 2^(3x) = 2^(7+18+2) 3x = 25 x = 25/3 (8x)^(-1) = 64^(-1/3) 8x = 4 x = 1/2 8x^(-3) = 64 x^(-3) = 8 x = 1/2 (8x)^(-1) = 64^(-1/3) 8x = 4 x = 1/2 Convert each equation to an exponential equation. Solve by getting each side in terms of the same base. No calculators should be used on this section. log_2(16) = y 16 = 2^y y = 4 log_(1/3)(27) = y 27 = (1/3)^y y = -3 log_(1/216)(x) = 3 x = (1/216)^3 log_b(125) = 3 125 = b^3 b = 5 log_(1/8)(2) = y 2 = (1/8)^y y = -1/3 log_(3/2)(9/4) = y 9/4 = (3/2)^y y = 2 log_b(81) = 4 81 = b^4 b = 3 log_b(1/27) = -3/2 1/27 = b^(-3/2) b = 9 log_(sqrt(8))(1/8) = y 1/8 = (sqrt(8))^y y = -2 log_(1000)(10) = y 10 = 1000^y y = 1/3 log_9(x) = 1 x = 9^1 x = 9

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