Question

Write 3log6(x) + log6(y-2) -2log6(a) as a single log expression

Answer 1

\[\log6^{3}x ^{3}+\log(6y-12)-\log6^{2}a ^{2}\]
\[\log \frac{ 216x ^{3}\times(6y-12) }{36a ^{2} }\]
\[\log \frac{ 1296x ^{3}y-2592 }{36a ^{2}}\]
\[\log \frac{ 36x ^{3}y-72 }{a ^{2}}\]
I think is this.=)

Answer 2

where did you get this from?

Answer 3

i do it just now

Answer 4

but you got it from a website

Answer 5

u know the logarithm theorem? Use the theorem.
From website?

Answer 6

I think the 6 is the base of the log.

Answer 7

You can make it simpler:
\[\begin{align}
&3\log_6 x + \log_6 (y-2)-2\log_6 a\\
&\log_6\left(\frac{x^3(y-2)}{a^2}\right)
\end{align}\]

Answer 8

oh~i mistaken~i think the 6 is multiple~