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Please help answer this worksheet, this is my last question so please help with all! WHAT KIND OF MUSIC DO MATHEMATICIANS LISTEN TO? Laws of

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Please help answer this worksheet, this is my last question so please help with all!

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WHAT KIND OF MUSIC DO MATHEMATICIANS LISTEN TO? Laws of Exponents Laws of Logarithms xm.x" = xmin In(xy) = In(x) + In(y) xm/x" = xm n In(x/y) = In(x) - In(y) (xm)" = xmn In(x") = nin(x) Simplify. 1) ex-e-x 2) (ex) 3 3) ex/e-x 4) e3x.e- 1x 5) In(e) 6) In(1) 7) In(e2) 8) In(1/e) 9) Inve 10) In(ex) 11) einx 12) In(32 ) 13) ex( 1 - e-x ) 14) (1 + ex)/ex 15) In(2) + In(3) 16) In(12) - In(2) 17) In(x5) - In(x4 ) 18) In(es) + In(e-7) Values. A. B. -1 D. 0 E. -2 F. e G. ex H. e2x 1. 3 L. X M. In(x) N. e3x 0. 0.5 P. 0.25 Q. -3 R. 5In(2) S. In(6) T. ex +1 U. ex - 1 V. ex - 1 Y. 2 Z. In(2 ) 9 4 12 3 14 3 17 16 5 2 6 10 13 18 15 IS THE LN FUNCTION A LOG FUNCTION? Match each equation with a solution below. 19) ex - 1 = 0 20) In(x) - 1 = 0 21) xex = 0 22) ex = 2 23) 5% = 2 A. X = e L. X = 0 N. X = In(5) R. X = In(2) T. X = In(2)/In(5) Match each function with a graph below. 24) f(x ) = ex 25) f(x) = ex ) f(x) = -ex 27) f ( x) = In(x) A N. U . Y 24 20 23 26 2 27 19 2 21 25 12

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