SOLUTION: a^b = c, what is b?

Question 694529: a^b = c, what is b?
Found 2 solutions by josmiceli, RedemptiveMath:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
A good rule to remember is " logs are exponents "
so is a log. Also, logs need a base, and the
base here is , so I can say

You read this as " equals the log to the base which gives me "
Hope this helps

Answer by RedemptiveMath(80) (Show Source): You can put this solution on YOUR website!
If you plugged in numbers for these variables, you may see a clearer picture. Let's say a = 3, b = 2 and c = 9. Plugging these numbers in, we have:

a^b = c
3^2 = 9.

The superscript (written to the top and right of a character that is smaller than the character it is written next to) number in this example, or 2, is what we call an exponent. The exponent tells us how many times the number beneath it, or what we call the base, is being multiplied. So, in our example we have the base represented as 3 and the exponent as 2. This tells us that 3 is being multiplied two times. 3 * 3 gives us 9. The in the form a^b = c, "a" would be your base and "b" would be your exponent. The product of factors could be called "c". The product of factors in our example could be called 9.
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