I have trouble whether im going to use product property first or power property first. how do u decide? I've tried each property first and it gave me diffrent answers.
2007-05-19 09:24:14 · 6 answers · asked by Ballerina 5 in Science & Mathematics ➔ Mathematics
thanks you guys for your help at the end i got the correct answer.
2007-05-19 09:45:13 · update #1
log 4x^5 = log 4 + log x^5 = log 4 + 5log x
if it had been log (4x)^5, you would have used power property first:
log (4x)^5 = 5 log 4x = 5[ log 4 + log x]
2007-05-19 09:33:31 · answer #1 · answered by Philo 7 · 0⤊ 0⤋
Which property you use first depends on how the expression is written: 4x^5 means the x is raised to the fifth power and then multiplied by 4. If the expression were (4x)^5, you would multiply by 4, then raise that quantity to the fifth power.
Use the property of logs in the opposite order:
log4x^5 = log4 + log x^5 = log 4 + 5 log x
Multiplication property followed by power property.
If the expression were written log(4x)^5 then
log(4x)^5 = 5log 4x = 5(log 4 + log x)
Power property followed by multiplication property
2007-05-19 16:35:41 · answer #2 · answered by Math Nerd 3 · 0⤊ 0⤋
This depends on if it's log ((4x)^5) or log (4x^5)
The way you have it written, you would do the product property first, then the power property.
You know this because if you do the power property first, the 4 is now included in the power, and that's not correct (if it's the way you have it written).
2007-05-19 16:34:05 · answer #3 · answered by anonymous_20003 3 · 0⤊ 0⤋
log4x^5=log(4)+log(x^5)
ANS =log(4)+5log(x)
2007-05-19 16:30:14 · answer #4 · answered by espms290 4 · 0⤊ 0⤋
log4 + 5logx
2007-05-19 16:30:46 · answer #5 · answered by the glob 1 · 0⤊ 0⤋
log(4x^5) = log(4xxxxx)
no more problem
I think it should be
log(4) + 5log(x)
2007-05-19 16:29:01 · answer #6 · answered by chess2226 3 · 0⤊ 3⤋