Question

Express in trams of sums and differences of logarithms
loga^5x5yz^6
help :(

Answer 1

\[\log _{a}^{5x5}yz ^{6}\]

Answer 2

\[\log(a^b)=(b)\log(a)\]\[\log(a \times b)=log(a)+log(b)\]

I don't get this, can you draw it?

Answer 3

\[\log _{a}^{5x5}yz ^{6}\]

Answer 4

\[\log_a~^{5x5}yz^6\]

Answer 5

\[5x5?~~maybe~~5x^5?\]

Answer 6

your right

Answer 7

\[loga ^{5x ^{5}}yz ^{6}\]

Answer 8

\[\huge\color{blue}{\log(a)^{5x^5}yz^6~~~~~this?}\]

Answer 9

right

Answer 10

\[5Log(5x) \times Log(a)+6Log(yz)~~~~~~explanations?\]

Answer 11

yes

Answer 12

I used \[Log(a \times b)=\log(a)+\log(b)\]to get\[\huge\color{blue}{\huge {\bbox[5pt,cyan,border:2px solid purple]{Log(a)^{5x^5} \times yz^6=Log(a)^{5x^5}+Log(yz^6)}}}\]

Answer 13

then\[loga^b=a \log b\]

Answer 14

\[\huge\color{blue}{\huge {\bbox[5pt,cyan,border:2px solid purple]{5x^5Log(a)+6Log(yz)}}}\]

Answer 15

then the answer

Answer 16

25x log a + 6 log yz

Answer 17

was the exponent 5 going on 5x entirely, 5 as well or just x?

Answer 18

just x