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Mara solved an exponential equation by using logarithms. This is her work.
1. 7 x 3^x = 189
2. 3^x = 27
3. log^3 (^3) = log^27
4. xlog^33=9
5. x * 1 = 9
6. x = 9

Review Mara's work in steps 3 and 4. (Hint: There is one mistake in those steps.)

a. Be sure to explain what she did and why it was correct or incorrect for Step 3.

b. Be sure to explain what she did and why it was correct or incorrect for Step 4.

c. Provide Mara with feedback on what the mistake was and how to fix it.

Respuesta :

The correct solution to the value of x in the equation will be 3.

How to solve the logarithms?

The correct solution will be:

7 × 3^x = 189

Divide both side by 7

3^x = 27

Make them have same base.

3^x = 3³.

x = 3

Mara's solution was incorrect as she didn't change 27 to 3³.

Learn more about logarithms on:

brainly.com/question/25710806

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