Write as logarithm of single expression
The answer above looks like log is only for the numerator.
It will be better if we write it as
log [ x^{4} z^{2}/ y^{10}]
Write as logarithm of single expression
The answer above looks like log is only for the numerator.
It will be better if we write it as
log [ x^{4} z^{2}/ y^{10}]
b log(a) is the same as log (a)^{b. }
log (a) + log (b) is the same as log (ab). Similarly, log (a) - log (b) = log (a/b)
Using the first rule, we can simplify the expression:
4 log(x) - 10 log(y) + 2 log (z) = log (x)^{4} - log (y)^{10} + log (z)^{2}
Now, using the second and third rules, we can simplify to a single expression:
log (x)^{4} - log (y)^{10} + log (z)^{2} = log (x^{4}z^{2})/(y^{10})