Question

expand using the properties of logarithms: log5 y(x+2)/x^4

Answer 1

when expanding a logarithm when two terms are being multiplied together the sum of the logarithm of the two taken seperately is equal for example log base 5 of x(y) is equal to log base 5 of x + log base 5 of y

Answer 2

when a term is being divided then you use the difference of the log with the same base for example log base 5 of x/y is equal to log base 5 of x - log base 5 of y

Answer 3

does that help?

Answer 4

\[\log5 y(x+2)/x^4 = \log5 y(x+2) - \log5x^4 = \log5y+\log5(x+2) - 4\log5x\]

Answer 5

im so lost

Answer 6

bubbamurphy your answer gets cut off

Answer 7

Sorry the above reply got cut out.
\[\log5y(x+2) - \log5x^4 = \log5y + \log5(x+2) - 4\log5x\]

Answer 8

The righthand side of that last post should be your final answer (assuming by log5 you meant base 5)

Answer 9

and yes then you move the power to the front

Answer 10

as bubbamurphy did

Answer 11

when two or multiple things are being multiplied together in the same log you can separate them with addition when they are being divided then you may use subtraction

Answer 12

i did thankyou

Answer 13

-4log5x is my answer?

Answer 14

the whole left side of the equation that bubbamurphy posted is your completed answer

Answer 15

*right side

Answer 16

sorry

Answer 17

no thankyou allot

Answer 18

no problem any other questions while i am here?

Answer 19

expand the expression: log3(x^-2y^3)

Answer 20

\[\log3(x^(-2y^3) = -2y^3\log3x\]

Answer 21

what is above the first x?

Answer 22

the way that you wrote the problem x was to the power of -2y^3

Answer 23

yes

Answer 24

so if x is to the power of that entire quantity you can move that quantity to the front of the logarithm

Answer 25

quantity meaning -2y^3

Answer 26

that is a parenthesis above the first x

Answer 27

there should be a end parenthesis after the -2y^3

Answer 28

thankyou for your help

Answer 29

No problem. :)

Answer 30

do you have time for more?