Question

2log4(10) – log4(5^2)

Answer 1

what do you want to do with this/
express it as a single logarithm?

Answer 2

Find the value

Answer 3

I am a little unclear of how to do it. I got a final answer of 1

Answer 4

2log4(10) = log4 100
log4 100 - log4 25 = log4 (100/25) = log4 4 = 1

Answer 5

I am also working on \[\log _{3\sqrt[3]{9}}\]

Answer 6

its a matter of applying the laws of logs

Answer 7

perfect! i got the same answer
the one with the radical sign is kinda of tripping me up as well

Answer 8

i cant make that one out its cube root of what?

Answer 9

cubed root of 9

Answer 10

and log to the base 3?

Answer 11

yep log3 3^√9

Answer 12

ok
that log3 9^(1/3)
= !/3 log3 9
= 1/3 log3 3^2
= 2/3 log3 3
= 2/3

Answer 13

so 3√9 is actually just 9^1/3?

Answer 14

ohhh okay I get it, cause you move the exponent over to the otehr side of the log like the other one. perfect thanks so much!

Answer 15

oh - i might have misinterpreted that
is 3 times the square root of 9 or the cube root of 9?

Answer 16

I think its the cubed root of 9. like the 3 is in small font infront of the square root symbol

Answer 17

right
yes cube root of 9 is the same as 9^(1/3)

Answer 18

than you are suppose to make 9 into an exponent like you did with 3^2?
why does 1/3 become 2/3 infront of log?

Answer 19

log3 3^2 = 2 log3 3 thats one of laws of logs

(!/3) log3 3^2 = (1/3 * 2) log3 3 = 2/3 log 3

Answer 20

ohhh i see cause you muliply 2 by 1/3. That makes alot of sense. Thanks so much for all the help

Answer 21

yw