Posted by Anna on Tuesday, December 14, 2010 at 11:49am.
I have two short questions which I think I know the answercould you please check?
If I write log(b)x  2log(b)y as a single logarithm it would be log(b) x/y^2, correct? If not please help
and Is the function f(x) = 1/x a exponential function I think it would be because it could be a number to the negative power, correct or would that be false
The function f(x) = logx is a logarthmic functionI think this is false because it should be written as log(then a number)x, correct

AlgebraBob Pursley orMathmate or Reiny or Dr. Bob, please check  Anna, Tuesday, December 14, 2010 at 11:50am
Could one of you please check when you have time.
Thank you

AlgebraMathmate or Reiny or Dr. Bob, please check  bobpursley, Tuesday, December 14, 2010 at 12:00pm
correct, if you meant logb(x/y^2)
F(x)=x^1 is an inverse function, not an exponential function. Exponential functions are functions which can be written as f(x)=k e^ax
for instance f(x)=3e^5
or f(x)=12(1e^(4x) )
Can it be applied to g(x)=3 a^bx ?
many people include this form in the definition of exponential functions.
I would call f(x)=log x a log function, it is a log whether or not the base is defined. changing bases just changes the slopes of the log curves.

AlgebraMathmate or Reiny or Dr. Bob, please check  Anna, Tuesday, December 14, 2010 at 1:19pm
Thank you for the explanations I appreciate it

AlgebraBob Pursley please checkMathmate or Reiny or Dr. Bob, please check  Anna, Tuesday, December 14, 2010 at 1:24pm
I just noticed somethingI had asked about if f(x) = 1/x is an exponential function and I think you rewrote it as f(x) = x^1. Therefore, f(x) = 1/x is NOT an exponential function, correct?

AlgebraMathmate or Reiny or Dr. Bob, please check  bobpursley, Tuesday, December 14, 2010 at 2:04pm
correct, not an exponential function.

AlgebraMathmate or Reiny or Dr. Bob, please check  Anna, Tuesday, December 14, 2010 at 3:17pm
Thank youcould you look at my new postI just needed clarification about f(x) = logx you said this would be true but doesn't it need parentheses or a separation between log and x for this to be correct?
Thank you
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