If log[a^2]b^2 - log[b]a = 4, find log[a]b.
#characters in [ ] is at lower 'case' , attached to 'log'.
*show working and explanation, pls...
Hello, mathbuoy!
This is a strange one . . . I don't recommend natural logs.
This is what I do when I encounter a strange base . . .If , find
Let
Take logs (base ): .
. . Hence: .
And equation becomes: .
Use this identity on the second term: .
. . and we have: .
Multiply by
Quadratic Formula: .
. . Therefore: .