# Thread: Express logarithm in terms of x,y,z....not sure what that means

1. ## Express logarithm in terms of x,y,z....not sure what that means

Question:
Express (equation) in terms of logarithms of x,y, and z.

I've attached the equation and my solution. My solution is not complete cause I don't know if that's what the question is asking. It's asking to express x = equation right? (like I've shown in the attachment). So I express it in terms of x,y,and z?

2. ln (x^3 * y^-5 * z^-9)^(1,4)
ln [(x^3) + ln (y^-5) + ln (z^-9)] / 4

It is (3lnx-5lny-9lnz)/4

3. Thanks, I think you meant (3lnx-5lny+9lnz)/4.

4. No, according to your first post, it should be (3lnx-5lny-9lnz)/4, since the power of z under ln is negative

5. Ahhh, Thanks.