Oriana Lorada Colegio Ekiraya Topic Quiz -Mathematics- Tenth Grade -2017/2018 TO

Question

Oriana Lorada Colegio Ekiraya Topic Quiz -Mathematics- Tenth Grade -2017/2018 TOPIC: Logarithmic &Exponential; Equations Written By: Francisco Riaño In problems 1-4, solve each equation. Express irrational solutions in exact form 1. log2(x +1)-logx-1 [Hint:Change log x to base 2.] 2-x 3. a. Graph f(x) 2*1 and g(x) 2-x+2 on the same Cartesian plane. b. Shade the region bounded by the y-axis, fox) and gx) on the graph drawn on part (a). c. Solve fex)-glx) and label the point of intersection on the graph drawn in part (a) In problems 5 - 6, use a graphing utility to solve each equation. Express your answer rounded to two decimal places e-x=ln x 5, 6. logs (x+1)-log4 (x-2) 1

Explanation / Answer

6) log 5 ( x+1 ) - log 4 ( x - 2) =1

log 4 (x +1 ) / log 4 (5) - log 4 ( x-2 ) = 1

log 4 5 ( x+1 ) - log 4 (x -2 ) = 1

x = 2.787

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