Answer :
Final answer:
To solve the equation, we can use the properties of logarithms to rewrite it in a simplified form.
Explanation:
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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