SOLUTION: Please help I am stuck on this problem. Round to the nearest thousandth log5(5z/z-2) = 2

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Question 890998: Please help I am stuck on this problem.
Round to the nearest thousandth
log5(5z/z-2) = 2
Found 3 solutions by Tatiana_Stebko, josgarithmetic, MathTherapy:
Answer by Tatiana_Stebko(1539)   (Show Source): You can put this solution on YOUR website!
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Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!


Change Of Base seems to be the best method first.







Finding antilog of the expression in the log function,

, although the rendering might make that hard to read.








Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Please help I am stuck on this problem.
Round to the nearest thousandth
log5(5z/z-2) = 2




 ------ Exponential form



 -------- Cross-multiplying

25z - 50 = 5z

25z - 5z = 50

20z = 50

z = , or , or  

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