Thread: Please solve the equation for "Y"? (a few more problems!)

Hello,

I wasn't completly sure on the ones I have solved.

Most of these I have already solved, and have included the answer I got! Please tell me if I have gotten the answer right. Thank you. Some of these I do need a bit of help with.
If you don't have time to do all of them and check them, you can just do a couple! Anything will help! Thank you.

1. (e^-y) + (e^y) = 2
I WASN'T SURE ON THIS ONE. PLEASE HELP!

2. (x^2)(ln y) - xlny = 3
I got y = e^(3/(x^2)-x)

3. (ln y )^3 = 5^x
I got e^third root(5x)

4. ln(1+ln y ) = 3
I WASN'T SURE ON THIS ONE. PLEASE HELP! (I didn't know if I was supposed to distribute the "ln" or what. Thank you.

5. (e^(-2y)) + 1 = 3e^x
I got y = (ln3(e^x) - 1)/(-2lne)

6. y^x = lnx + 2
I got y = x root (lnx + 2)

Thank you everyone!

after multiplying both sides by



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Originally Posted by ADH

Hello,

I wasn't completly sure on the ones I have solved.

Most of these I have already solved, and have included the answer I got! Please tell me if I have gotten the answer right. Thank you. Some of these I do need a bit of help with.
If you don't have time to do all of them and check them, you can just do a couple! Anything will help! Thank you.

1. (e^-y) + (e^y) = 2
I WASN'T SURE ON THIS ONE. PLEASE HELP!

2. (x^2)(ln y) - xlny = 3
I got y = e^(3/(x^2)-x)

3. (ln y )^3 = 5^x
I got e^third root(5x)

4. ln(1+ln y ) = 3
I WASN'T SURE ON THIS ONE. PLEASE HELP! (I didn't know if I was supposed to distribute the "ln" or what. Thank you.

5. (e^(-2y)) + 1 = 3e^x
I got y = (ln3(e^x) - 1)/(-2lne)

6. y^x = lnx + 2
I got y = x root (lnx + 2)

Thank you everyone!

.

The rest (2,3,5 and 6) seem correct to me.

For number 5:

y = (ln3(e^x) - 1)/(-2lne) can be simplified to: y = (ln3(e^x) - 1)/(-2)

Remember ln(e^1) = 1

Wow thanks everyone! Hey "Educated", are you from Hastings, Michigan?

That's off the topic, but no.

I'm from Hastings, New Zealand. If you go into my profile, you will see.