The scope/limitation of logab X

**Bzaher** · November 23rd 2009, 04:25 PM

loga X = C and logb X = D
i got it up to log ab X = (cd)/(c+d)
the question asked what the scope and/or limitations are. I know that ab and X can't be negatives but i dont know the rest

**stapel** · November 24th 2009, 03:12 AM

I'm sorry, but I'm not clear on what you're being asked to do...?

Please reply with the full and exact text of the exercise, and the complete instructions. Thank you!

**HallsofIvy** · November 24th 2009, 03:22 AM

Originally Posted by Bzaher

loga X = C and logb X = D
i got it up to log ab X = (cd)/(c+d)
the question asked what the scope and/or limitations are. I know that ab and X can't be negatives but i dont know the rest

I presume you are asking about restrictions on the base of a logarithm and the domain. "not negative" is not enough. They also cannot be zero. ab and X must be positive.

**Soroban** · November 24th 2009, 04:12 AM

Hello, Bzaher!

$\log_a X \,=\, c,\;\;\log_b X \,=\, d$

i got it up to: . $\log_{ab} X \:=\:\frac{cd}{c+d}$

The question asked what the scope and/or limitations are.

The scope and limitations of what?

Here are the restrictions: . $\begin{Bmatrix}X \:>\:0 \\<br /> a \,>\,0,\;a\,\neq\,1 \\ b\,>\,0,\;b\,\neq\,1 \\ c+d\,\neq\,0\end{Bmatrix}$

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