Question

how do you expand logs...

Answer 1

\[ \log_{2} y^{5}/3\]

Answer 2

is it \[\log_{2}(y ^{5}/3) \]?

Answer 3

yes!

Answer 4

\[\huge \color{blue}{Log(\frac{a}{b}) = Log(a) - Log(b)}\]

\[\huge \color{red}{Log(a)^b = b \times Log(a)}\]

Answer 5

\[\huge Log_2\frac{(y^5)}{3} = Log_2(y)^5 - Log_2(3)\]

Answer 6

Now use the second formula to simplify \(Log_2(y)^5\)..

Answer 7

5Log(y)...?

Answer 8

Yes..

Don't forget to write the base(2)..

Answer 9

\[5\log_{2} y\]

Answer 10

Yes you are right dear..

Answer 11

So, total answer becomes:

\[\huge \color{pink}{= 5Log_2(y) - Log_2(3)}\]

Answer 12

thanksss