Q: Given that Lg x = p and lg y = q, express the following in terms of p and q.
a) xy
Ans ￼: = 10^p x 10^q
= 10^(p+q)
Where the 10 come from?! Like lg10, but if it is it will be xlg10 which is x(1). I don't get this. Please help.
Q: Given that Lg x = p and lg y = q, express the following in terms of p and q.
a) xy
Ans ￼: = 10^p x 10^q
= 10^(p+q)
Where the 10 come from?! Like lg10, but if it is it will be xlg10 which is x(1). I don't get this. Please help.
It's not and nobody said it was.
"$\displaystyle log(x)= p \leftrightarrow 10^p= x$" is two equations not one.
The $\displaystyle \leftrightarrow$ indicates "if one of those is true so is the other."
If $\displaystyle log(x)= p$ then $\displaystyle 10^p= x$ and vice-versa. That is basically the definition of "logarithm".