Weekly Math Problem! #29

Logarithmic Equation. Y'all, it has been a loooong weekend for me. I...am...tired. 😩 Hopefully, your weekend went better than mine did. Because I'm tired and this week is a holiday week, this week's problem is a short one. Plus, I will be posting the solution earlier than usual. 

I don't encounter logarithmic equations a lot, but when I do, my eyes start to begin identifying which logarithm rules I need to use. To solve this week's problem in completion, you need to recall the following math skills:

        ✔️     Logarithm rules
        ✔️     How to solve a quadratic equation

WMP! #29 wants us to...

Happy solving!

Check back on Wednesday, November 25th for the solution, which will be posted below ⬇️.

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✏️📓 Solution Time! 📓✏️

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I won't delay. Here's how I solved the equation...

Just in case, you're wondering why x = -1 was rejected, I'll briefly explain. The domain for a logarithmic function does not include negative values. There is no exponent--positive, zero or negative) that will yield a negative result. 

Just to ensure that x = 4 won't be rejected, check it:

So, this equation has one solution, x = 4.

▪️ Comment below with your responses and let me know what you thought about this week's problem.

Thanks for solving with me this week!

Up next...WMP! #30

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Have an amazing Thanksgiving!

Cheers!

The Younge Lady