SOLUTION: solve the logarithmic equation. 5 (subscript 2p- both 2 and p are subscripts) =125 ---> 5^2p =125 Please help, I don't understand. My teacher expects us to understand how to do

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Question 1082035: solve the logarithmic equation.
5 (subscript 2p- both 2 and p are subscripts) =125 ---> 5^2p =125
Please help, I don't understand. My teacher expects us to understand how to do it (though book work)
Found 2 solutions by Theo, solver91311:
Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website!
5^(2p) = 125

take the log of both sides of this equation to get log(5^(2p)) = log(125)

since log(a^b) = b*log(a), this becomes 2p*log(5) = log(125).

divide both sides of this equation by log(5) to get 2p = log(125)/log(5)

solve for 2p to get 2p = 3

solve for p to get p = 1.5

5^2p = 5^3

5^3 = 125

solution looks good

p = 1.5

here's a whole bunch of tutorial on exponents and logs by wtamu that will help you to understand.

https://www.google.com/search?q=exponents+wtamu&oq=exponents+wtamu&aqs=chrome.0.69i59.2143j0j4&sourceid=chrome&ie=UTF-8

https://www.google.com/search?q=logarithms+watmu&oq=logarithms+watmu&aqs=chrome..69i57.2415j0j8&sourceid=chrome&ie=UTF-8

https://www.google.com/search?q=exponential+and+logarithmix+equations+wtamu&oq=exponential+and+logarithmix+equations+wtamu&aqs=chrome..69i57.7087j0j7&sourceid=chrome&ie=UTF-8

all these references come from the main wtamu site which can be found here:

http://www.wtamu.edu/academic/anns/mps/math/mathlab/

i have used them in the past and i have learned quite a bit from them.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

You aren't paying attention

John

My calculator said it, I believe it, that settles it