Question

Hi, I was wondering if anyone could just be my tutor for just a little bot and show me how to make examples and solve for these:

Product Property: log(A*B) = log(A) + log(B)

Quotient Property: log(A/B) = log(A) - log(B)

Power Property: log(A^b) = b*log(A)

Answer 1

ok try this one

change to a single logarithm'

log x + log y

Answer 2

use one of the laws of logs that you've written above
to change this to

log(something)

Answer 3

use the first one

Answer 4

yes
or you could write it as log(xy) the multiply sign can be left out

Answer 5

now how about
log(y) - log(x)
write this as a single log

Answer 6

yes for the first part - thats log 42 of course

and u r correct with the second part

Answer 7

now try this one

write log (x^2) in another form

Answer 8

this uses your third law

Answer 9

yes - again no need to put the '*' 2 log(x) will do

Answer 10

now try one a little nore involved
write the following as a single log

log a + log b + 2 log c

Answer 11

thats ok

Answer 12

hint with this one:

change the last log into log (something)

Answer 13

2 log c = log (c^2)

Answer 14

then do the final part

Answer 15

no it will be

log (abc^2)

Answer 16

right

Answer 17

2 log (abc) = log (abc)^2

Answer 18

just go through the process indicating which property you are using

Answer 19

like

the first one

Convert to a single logarithm:- log x + log y

By the Product Property log (a*b) = log a + log b

(in reverse) log x + log y = log (x*y) or log (xy)

Answer 20

ok gotta go hope this has helped