SOLUTION: logx + log(x-3)=1 can you help me find the answer to this question so that i can have a better understanding of what logarithms are?

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: logx + log(x-3)=1 can you help me find the answer to this question so that i can have a better understanding of what logarithms are?      Log On


   



Question 602419: logx + log(x-3)=1
can you help me find the answer to this question so that i can have a better understanding of what logarithms are?

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


Logarithms are exponents.



Remember the sum of the logs is the log of the product:



If the base is not specified, the base is assumed to be 10, hence using the definition of logarithms from above:



Anything raised to the 1 power is just that thing, hence:



Put the quadratic into standard form and solve. Hint: it factors.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism