Question

Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log3(x+3)+log3(x+21)=5 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. x= (Simplify your answer. Use a comma to separate answers as needed.) B. There is no solution.

          Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer.
log3(x+3)+log3(x+21)=5
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x=
(Simplify your answer. Use a comma to separate answers as needed.)
B. There is no solution.

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Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer.
log3(x+3)+log3(x+21)=5
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. x=
(Simplify your answer. Use a comma to separate answers as needed.)
B. There is no solution.

Added by Ryan H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

08/03/2023

Step 1

So we have: log3((x + 3)(x + 2)) = 5 Now, we can rewrite the equation in exponential form: 3^5 = (x + 3)(x + 2) Calculate 3^5: 243 = (x + 3)(x + 2) Now, we need to solve for x. Expand the equation: 243 = x^2 + 2x + 3x + 6 Combine like terms: 243 = x^2 + Show more…

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Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. log3(x + 3) + log3(x + 21) = 5 Select the correct choice below and, if necessary, complete your choice in the answer box. (Simplify your answer. Separate answers if needed.)

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