If log 5 = p and log 2=q then log 200 can be written in terms of p and q as?

The equivalent expression of log(200) is 2p + 3q

The logarithmic expression is given as:

Rewrite as:

Express as exponents

Split

Apply law of logarithms

From the question;

log(5) = p and log(2) = q

So, we have:

Hence, the equivalent expression of log(200) is 2p + 3q

Read more about logarithmic expressions at:

link

Work Shown:

log(200) = log(2^3*5^2)

log(200) = log(2^3) + log(5^2)

log(200) = 3*log(2) + 2*log(5)

log(200) = 3*q + 2*p

log(200) = 2p + 3q

The log rules I used were

log(A*B) = log(A)+log(B)

log(A^B) = B*log(A)

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.

both equations and proportions are better.