Solve each exponential equation below. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. (1) 3^(2x) + 3^(x) - 2 = 0 (2) 2^(x + 1) = 5^(1 - 2x)
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for the first write it as then set substitute in then solve the quadratic to find u then use the substitution and logs to find x
You said to let u = 3^(x). Of course, I can select any letter of choice to represent 3^(x), right?
Originally Posted by magentarita You said to let u = 3^(x). Of course, I can select any letter of choice to represent 3^(x), right? of course you can choose any letter under the sun
Originally Posted by magentarita You said to let u = 3^(x). Of course, I can select any letter of choice to represent 3^(x), right? Correct, any letter will do. (2)
Hello, magentarita! There are a number of ways to solve #2 . . . Solve the following equation. Express irrational solutions in exact form and as a decimal rounded to 3 decimal places. We have: . . . Take logs: . . . Therefore: .
Thank you all. Soroban....I have seen you in other math forums. Your name is familiar.
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