I'm presuming you mean:
And that you want to solve the equation for
To the extent that is all true, please remember the following things for the next time you post.
1. The proper way to render
2. Take the time to tell us what it is you want. Just putting in a problem and not saying anything else sends a very strong message, to wit: "Here chump, go do my homework for me. I've got more important things to occupy my time, like video games or hanging out at the mall." That sort of thing is not very conducive to getting someone to help you.
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First, convert the base of the log function in the RHS to the same base as the log function in the LHS:
Use the log base conversion formula:
So:
But since
we now have:
Put everything into the LHS:
Multiply both sides by
Let
Factor:
Hence:
Substitute back:
Use the definition of the log function:
Hence:
Which is to say:
Check:
John