Logs

Hello,

I am getting really confused with the laws of Logs! Especially the change the base rule.

Currently trying to answer this question:

Log3Z = 4Logz3

Solve for Z.

I know I need to change the base to three - just getting a litte confused as to how.

Any step by step instructions would be appreciated!

Thank you!

Hello,

I am getting really confused with the laws of Logs! Especially the change the base rule.

Currently trying to answer this question:

Log3Z = 4Logz3

Solve for Z.

I know I need to change the base to three - just getting a litte confused as to how.

Any step by step instructions would be appreciated!

Thank you!

Log3Z = 4Logz3


$log_3z=4log_z3$?

If it's any use, remember that log_a (b)=[log_c(b)]/[log_c(a)] and c can be any base you choose.
So log_a(b) = 1/log_b(a)

This, I know is a really stupid question, but why does X = 3 as well as b...?

I can choose any number for c?