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...(Doh)

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- Nov 29th 2008, 06:07 AMmathbuoyLOgarithm proBLeM
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...(Doh) - Nov 29th 2008, 06:30 AMrunning-gag
Use the formula

- Nov 29th 2008, 03:28 PMSoroban
Hello, mathbuoy!

This is a strange one . . . I don't recommend natural logs.

Quote:

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: .

- Nov 30th 2008, 05:50 AMrunning-gag