SOLUTION: 1)What is the relationship between exponents and logarithms? 2) How would you distinguish between the two, using both a graph and a sequence? Please give examples of bo

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 1)What is the relationship between exponents and logarithms? 2) How would you distinguish between the two, using both a graph and a sequence? Please give examples of bo      Log On


   

Question 894820: 1)What is the relationship between exponents and logarithms?

2) How would you distinguish between the two, using both a graph and a sequence?

Please give examples of both with your answers Thanks.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
They serve inverse purposes.

Look at the graph of 10%5Ex=y. If x and y switch places in the equation, then this becomes the inverse. Also, the graph will be a reflexion around the line y=x. This gives you y=log%2810%2Cx%29. More, 10%5E%28log%2810%2Cx%29%29=x, and also, log%2810%2C%2810%5Ex%29%29=x.