Question

1/3log(z)+5log(y)-log(x)

Answer 1

What do you want to do here?

Answer 2

express as a single logarithm

Answer 3

+ multiplication
- division

Answer 4

at first, 1/3 will go inside as an exponent.
and you will get z to the third, which is same as cube root of z.

then apply your rules,
\(\large\color{blue}{\log(a)+ \log(b)=\log(a\times b) }\)
\(\large\color{blue}{\log(a)- \log(b)=\log(a\div b) }\)

Answer 5

Thank you!

Answer 6

np

Answer 7

be careful with 5 log y too
it will become
log y^5

Answer 8

yeah, I didn't see the 5, it will also go inside the log as an exponent of y

Answer 9

I missed that...srry
(Once was doing an integral of an absolute value, and kept getting it wrong and re-writing.
My mistake as I figured out was that 1/2-1/4 is not 1/2, but 1/4 omg)

Answer 10

LOL

Answer 11

Paying attention to every step (as I failed to do just now) is very important!