Microsoft Word - Solving Exponential and Logarithmic Functions Worksheet.doc

SolvingExponentialandLogarithmicFunctionsWorksheet

In1‐9,solveeachexponentialequation.Wherenecessary,givetheexactvalueandthenuse

acalculatortoobtainadecimalapproximation,correcttofourdecimalplaces.

1.

264

x

   2.125 25



  3.

927





 



4. 8 12,143

  5.

9 1269

e   6.

12 5

7 123



 



7.

5 37,500

x

  8.

364

x



  9.

x

 



In10‐18,solveeachlogarithmicequation.Checkforextraneoussolutions.



10.

log (3 5) 3x  11. 34ln(2)15x 12.

log ( 3) log ( 3) 4xx







13.

log ( 1) log ( 2) 2xx   14. ln( 4) ln( 1) ln







15.

444

log (2 1) log ( 3) log ( 5)xxx    16. 2ln(3 ) 8x



 



17. log log( 15) 2xx 18. ln( 4) ln( 1) ln6xx







In19‐21,evaluatetheexpression.

19.

3ln 5log100e

 20.

33log8  21.

ln log10 log1 ln1e







In22‐23,graphtheexponentialfunction.Showtheparentfunctionandthengraphthegive

function.Statethedomain,rangeandtheequationofasymptoteofthegivenfunction.

22.

2(3) 4



  23.













