Since you have different bases, you must use a change of base formula to give all these logs the same base. I have attached a Word document showing this, because it is difficult to explain this clearly on this form.
Hope this helps! Good Luck!
Hello, sahip!
We will use the formula: .
Solve: .
Using the formula:
. .
. .
Let: .
Then [3] and [4] becomes: .
Equate [5] and [6]: .
Substitute into [6]: .
. . which simplifies to: .
. . which factors: .
. . and has roots: .
Substitute into [7]: .
Back-substitute into (a).
. .
. .
Solutions: .