For Exercises 39−54, solve the exponential equation by using the property that
Example 5 Solving an Exponential Equation
Solve the equation.
Example 6 Solving an Exponential Equation
Solve the equation.
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- A pattern of dots grows exponentially. The table shows the number of dots at each step of the pattern. step number 012 3 number of dots 15 25 125 1. Write an equation to represent the relationship between the step number, n, and the number of dots, y. 2. At one step, there are 9,765,625 dots in the pattern. At what step number will that happen? Explain how you know.arrow_forwardA 18. Lucy is growing bacteria in a petri dish. She starts with 50 bacterial cells and notices after one hour she has 80 cells. After two hours, she has 128 cells. What is the exponential equation that determines how many bacterial cells are in the dish for any given hour? y = 50 - 1.6* y = 1.6 - 50* y = 128 · 50* y = 50 + 1.6xarrow_forwardCan you do this exponentially?arrow_forward
- Rewrite V2x2y in exponential form. O 2 . a 1 O 2i . ai O 2 . O 23 . 22 · yarrow_forwardI. Solve for the value of x in each exponential equation. 1. 5**+2x = 2. 8*-2 = 14 3. 22*+4 = 48-r (r+1) 4. 16 =32arrow_forwardSolve the exponential equation. Express irational solutions as decimaks correct to the nearest thousandth. 2*-1-3x Select the corect choice below and, if necessary, fill in the answer box to complete your choice. O A. The solution set is (Round to the nearest thousandth as needed. Use a comma to separate answers as needed.) O B. The solution is the empty setarrow_forward
- A scientist begins with 525 mg of a radioactive substance. After 3 hours, the sample has decayed to 100 grams. Assume that the amount of substance remaining follows the exponential decay model.To the nearest hundredth of an hour, how long will it take for the substance to decay to 25 mg?arrow_forwardsolve 3arrow_forwardUse graphing calculator to solve the exponential equation 21 = 2.78 x 1.22t . Group of answer choices t = 14.93 t = 9.74 t = 15.38 t = 10.17arrow_forward
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