Alternative answer?

Is it possible to take only the 2 (in front of the ln) and raise it as a power (leaving the negative sign where it is) to get:

-ln|1-x|² + ln|³√(2-3x)| + c

-ln|(1-x)²(³√2-3x)| + c

I mean is the above still a correct alternative answer to the one the book has given?

Reply 1

james22

16

You cannot do this, you can only use the rule for adding logs together when the constant infront of each log is the same, in this case one of the constants is 1 and the other is -1 so you cannot do this.

Reply 2

sabre2th1

OP

12

Original post by james22

You cannot do this, you can only use the rule for adding logs together when the constant infront of each log is the same, in this case one of the constants is 1 and the other is -1 so you cannot do this.

Oh ! But is it still possible to take only the 2 (in front of the ln) and raise it as a power (leaving the negative sign where it is) right? (disregarding the fact that it wouldn't give the correct answer.)

Reply 3

james22

16

Original post by sabre2th1

Oh ! But is it still possible to take only the 2 (in front of the ln) and raise it as a power (leaving the negative sign where it is) right? (disregarding the fact that it wouldn't give the correct answer.)