Question

HELP PRECAL PROBLEM??!!?

A. -1

B. 27

C. There isn't enough information to answer the question

D. 29

Answer 1

expand the log, get
\[5\log(A)+2\log(C)-6\log(D)\] then plug in the numbers

Answer 2

using two facts
\[\log(AB)=\log(A)+\log(B)\]and
\[\log(A^n)=n\log(A)\]

Answer 3

i'm so confused

Answer 4

well it is late, time to stop doing math
but the idea is this
if for example \(\log(A)=5\) and \(\log(B)=3\) then
\[\log(A^4B^2)=\log(A^4)+\log(B^2)=4\log(A)+3\log(B)\]
\[=4\times 5+3\times 2\]

Answer 5

will this one be 5x7/2?

Answer 6

oops i meant
\[\log(A^4B^2)=\log(A^4)+\log(B^2)=4\log(A)+2\log(B)\]
\[=4\times 5+2\times 3\]

Answer 7

no, plug in the numbers you know here
\[5\log(A)+2\log(C)-6\log(D)\]

Answer 8

5log(5)+2log(7)−6log(2)

Answer 9

replace \(\log(A)\) by 5
\(\log(C)\) by 7
\(\log(D)\) by 2

Answer 10

not the log of 5, just the number 5

Answer 11

5+7-2?

Answer 12

not \[5log(5)+2log(7)−6log(2)\] but rather
\[5\times 5+2\times 7-6\times 2\]

Answer 13

this one is dividing tho, so wouldn't it be different?

Answer 14

oh ok i see now

Answer 15

that is the reason for the subtraction

Answer 16

25+14-12?

Answer 17

\[\log(\frac{A}{B})=\log(A)-\log(B)\]

Answer 18

yeah i guess so

Answer 19

thanks!

Answer 20

yw