Question

Solve for x:


\log\ (x^(3)) = (\log\ x)^(2)

Note, there are 2 solutions, A and B, where A < B.

Answer 1

try using the substitution:\[y=\log{x}\]and solve for y first.

Answer 2

im still confused

Answer 3

on what part?

Answer 4

the substitution

Answer 5

what do you get when you use that substitution?

Answer 6

what is the resulting equation in y?

Answer 7

do you know the various log rules?

Answer 8

e.g.:\[\log{x^n}=n\log{x}\]

Answer 9

hmm, I read the above as \(\bf log(x^3) = (logx)^2 \)

Answer 10

or \(\bf log(x^3) = (log(x))^2 \)

Answer 11

the second one

Answer 12

yes - that is what I am taking it as

Answer 13

ok

Answer 14

k thnks

Answer 15

so you understand how to proceed now?

Answer 16

yes

Answer 17

great! :)