Solving An Exponential Equation. Exponential equations are very different from polynomial equations (linear, quadratic, etc.) not just in the way they look, but also in behavior and methods needed to solve them. Exponential equations sometimes require a different type of "manipulation" via logarithmic properties, as opposed to what is needed to solve polynomial equation types, which do not require that.
To solve this week's problem in completion, you need to recall the following math skills:
✔️ Logarithmic properties
✔️ How to solve polynomial equations
Happy solving!
Check back on Friday, July 10th for the solution, which will be posted below ⬇️.
Shameless plug: Follow me on Instagram @TheYoungeLady
✏️📓 Solution Time! 📓✏️
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Listen here...I looked at this problem an automatically assumed that all I needed to do was, somehow, get the exponential term in one spot--factoring it out--then I'll be good. Nah fam, not at all. 😕 When I tell you that wasn't it....that was not it. I needed another technique and wasn't quite seeing it. I was stumped for a bit. What I needed wasn't apparent to me because I was not used to using this technique to solve a logarithmic equation of this form. Factoring is what I needed to do...just not in the way I originally thought. Here's what I did:
I had to solve this thing by factoring a trinomial. It took me too long to see it. Once I saw it, it was solved in minutes. Even though, I didn't post it this week, I did check both solutions. None of them are to be rejected.
◾️ Have you ever solved a logarithmic equation like the one above??
◾️ Comment below with your responses and let me know what you thought about this week's problem.
On to WMP! #11 ▶️
Cheers!
The Younge Lady
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