SOLUTION: If the point (3,10) is on the graph of y=a^x, what is this point on the graph of y=log(base)a X ? I am confused and need help. I dont even know where to start. Can you help?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If the point (3,10) is on the graph of y=a^x, what is this point on the graph of y=log(base)a X ? I am confused and need help. I dont even know where to start. Can you help?      Log On


   

Question 634953: If the point (3,10) is on the graph of y=a^x, what is this point on the graph of y=log(base)a X ?
I am confused and need help. I dont even know where to start. Can you help?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%5Ex is the inverse of log%28a%2C%28x%29%29. So if you plug in x = 3 into the first expression, you get 10. If you plug 10 into the second expression, you'll get 3 back again.


So the point (10,3) lies on y=log%28a%2C%28x%29%29


Notice how we did not even need to find the value of 'a'.