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

Tutors, please sign in to answer this question.

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}**

Evan F.

Mathematics graduate looking to enhance your mathematics ability.

Richmond Hill, NY

4.9
(201 ratings)

Gilant P.

Miss Gil: Cares & Gets Results - Regents, SAT & NYS ELA & Math Exams

Jamaica, NY

4.8
(1399 ratings)

Wesley L.

Premier MIT Math Tutor and SHSAT/SAT/ACT Specialist

New York, NY

5.0
(199 ratings)