Year 12s: what will be the first way you research your future options? >>

Differentiation

Hi, I was have differentiated an equation and I was wondering if anybody knows the method to solve the equation it gave me.
2 * 3^x * x^2 (xln(3)-3)=0
I know that one of the solutions will be 0.
Thank you.

Scroll to see replies

Reply 1

Mr M

Study Forum Helper

It is factorised.

Therefore:

3^x =0

(good luck with that) or

x^2 =0

x \ln 3 -3 =0

Now look at each case in turn.

Reply 2

htduhjdgsfdh

so x=0 or

xln3-3=0
xln3=3
e^3=3x
x=e^1

Reply 3

Mr M

Study Forum Helper

Original post by htduhjdgsfdh

so x=0 or

xln3-3=0
xln3=3
e^3=3x
x=e^1

What a load of drivel. Please don't post full answers (especially if they are wrong).

Reply 4

TenOfThem

Original post by htduhjdgsfdh

so x=0 or

xln3-3=0
xln3=3

does not lead to

e^3=3x
x=e^1

Reply 5

htduhjdgsfdh

Original post by Mr M

What a load of drivel. Please don't post full answers (especially if they are wrong).

Original post by TenOfThem

does not lead to

xln3=3 is right

do you know what to do from there? hint think laws of logs

Reply 6

Mr M

Study Forum Helper

Original post by htduhjdgsfdh

xln3=3 is right

do you know what to do from there? hint think laws of logs

We know what to do. Clearly you don't.

Both of your final two lines are horrendous.

Reply 7

TenOfThem

Original post by htduhjdgsfdh

xln3=3 is right

do you know what to do from there? hint think laws of logs

We both know what to do from there

It is you who does not know

Reply 8

Mr M

Study Forum Helper

Original post by TenOfThem

We both know what to do from there

It is you who does not know

Full stops don't play an important role in your world do they?

Reply 9

htduhjdgsfdh

Original post by Mr M

We know what to do. Clearly you don't.

Both of your final two lines are horrendous.

Original post by TenOfThem

We both know what to do from there

It is you who does not know

from xln3=3
what do u do i forgot its something to do with getting rid of ln and putting e in it i forgot

xln3=3 then what

Reply 10

TenOfThem

Original post by Mr M

Full stops don't play an important role in your world do they?

Nope

Though our English team have set out a list of non-negotiables

If I see any work without Capital Letters and/or Full Stops I am meant to write NN next to the error