Solve each equation. In Exercises 11–34, give irrational solution...

Question

Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. See Examples 1–4.
2(1.05)^x + 3 = 10

Accepted Answer

Solve the following equation for X and round the answer to the, the 1000th where we have three multiplied by 2.75 to the X plus five equals 21. Possible answers 3.481 point 6555.122 and 4.396. No, we want to solve for X for this equation. Let's first subtract both sides by five. You get three multiplied by 2.75 to the X equals 16. That will divide by three on both sides, you get 2.75 race to the X equals 16 3rd. Now we want to get rid of the base exponential. So let's take the natural log of both sides. Look at Ellen 2.75 for a city X equals Ellen 16 3rd. Now we have the natural log of an exponential function. This can be rewritten with X in front of the L N X N of 2.75 equals Ellen 3rd. We want X by itself. So we can divide both sides by L and 2.75. We get X equals Ellen 16 3rd divided by Ellen 2.75, we can do this in the calculator to which R X will evaluate to just about 1.655. We can then conclude the answer to our problem as answer B OK. I hope to help you solve the problem. Thank you for watching. Goodbye.

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Solve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. See Examples 1–4. 2(1.05)^x + 3 = 10