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}**

Chak W.

Experienced Mechanical Engineering, Science, and Math Tutor

Lodi, NJ

4.9
(206 ratings)

John K.

Ardent Mathematics, Science, History, SAT and German Polymath

College Point, NY

5.0
(50 ratings)

John E.

Physics and Math tutor - Masters from Cornell and Columbia University

New York, NY

4.8
(125 ratings)