Given the equation log5 (x + 12) + log5 (x - 12) = 2 c. Solve the equation. Show all of your mathematical steps. [10 points] d. After each mathematical step, write a complete sentence explaining the step and why you c that step. See the example below. [10 points]

To solve the equation log5 (x + 12) + log5 (x - 12) = 2 c, we can use the property that the sum of logarithms is equal to the logarithm of their product. We can rewrite the equation as log5 ((x + 12)(x - 12)) = 2 c.

Next, we can apply the property that the logarithm of a number raised to an exponent is equal to the exponent times the logarithm of the number. This allows us to rewrite the equation as log5 (((x + 12)(x - 12)) = log5 [tex](5^2c).[/tex]

Finally, using the property that the logarithm of a number raised to a power is equal to the power times the logarithm of the number, we can simplify the equation to (x + 12)(x - 12) =[tex]5^2c.[/tex]

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Given the equation log5 (x + 12) + log5 (x - 12) = 2 c. Solve the equation. Show all of your mathematical steps. [10 points] d. After each mathematical step, write a complete sentence explaining the step and why you c that step. See the example below. [10 points]​

Answer :

Final answer:

Explanation:

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Given the equation log5 (x + 12) + log5 (x - 12) = 2 c. Solve the equation. Show all of your mathematical steps. [10 points] d. After each mathematical step, write a complete sentence explaining the step and why you c that step. See the example below. [10 points]