Question
Given (1/logy 4) = (log1/4 1/8x), express y as a polynomial function of x.
State the restrictions on x and y.
State the restrictions on x and y.
Answers
MathMate
It's easier if the equation is posted in an unambiguous form. Parentheses wouldn't hurt.
Bases of logarithms can be posted using the "<i>sub</i>script" tags, for example, log<sub>e</sub>10 can be posted as
"log < s u b > e < / s u b > 10"
but without the intervening spaces and double quotes.
(log1/4 1/8x) could be interpreted as
log(1/4)*(x/8), or
log(1/4)*(1/(8x)), or
log((1/4)*(x/8)), or
log((1/4)*(1/(8x))), or
log((1/((4 1/8)x))), [ i.e. fraction] or
log((1/((4 1/(8x)))
Again, extra parentheses don't hurt.
Bases of logarithms can be posted using the "<i>sub</i>script" tags, for example, log<sub>e</sub>10 can be posted as
"log < s u b > e < / s u b > 10"
but without the intervening spaces and double quotes.
(log1/4 1/8x) could be interpreted as
log(1/4)*(x/8), or
log(1/4)*(1/(8x)), or
log((1/4)*(x/8)), or
log((1/4)*(1/(8x))), or
log((1/((4 1/8)x))), [ i.e. fraction] or
log((1/((4 1/(8x)))
Again, extra parentheses don't hurt.