solve ln(x) + ln(x+1) = ln(56), rejecting any invalid solns

[amarimorales]

Solve the logarithmic equation.

ln(x) + ln(x+1) = ln(56)

Be sure to reject any value that is not in the domain of the original logarithmic equation. Give an exact answer.

Please help!

 

[Deleted member 4993]

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic equation. Give an exact answer.

Please help!

Hint:

ln(a) + ln(b) = ln(a*b)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

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[stapel]

Solve the logarithmic equation.

ln(x) + ln(x+1) = ln(56)

Be sure to reject any value that is not in the domain of the original logarithmic equation. Give an exact answer.

Since you are unable to get started, I will guess that you are asking for lesson instruction on logarithms, so you can learn enough to be able to approach this exercise. To learn what logs are, try here. To learn about log rules (the rules for manipulating logs, which you'll need for the left-hand side of this equation), try here. Then, to learn how to solve log equations, using the definition of logs and the rules for logs, try here.

Once you have studied the lessons and learned the basic terms and techniques, please attempt the exercise. Start by applying the appropriate log rule to the left-hand side, converting the two log terms into one. Then apply the definition of logs to convert the log equation into a rational equation. (If you don't know how to solve rational equations, try here.) Then apply the definition of logs to whatever solutions you get, rejecting any values which would not have been valid in the original equation.

If you get stuck, please reply with a clear listing of your thoughts and efforts so far. Thank you!

 

[amarimorales]

Since you are unable to get started, I will guess that you are asking for lesson instruction on logarithms, so you can learn enough to be able to approach this exercise. To learn what logs are, try here. To learn about log rules (the rules for manipulating logs, which you'll need for the left-hand side of this equation), try here. Then, to learn how to solve log equations, using the definition of logs and the rules for logs, try here.

Once you have studied the lessons and learned the basic terms and techniques, please attempt the exercise. Start by applying the appropriate log rule to the left-hand side, converting the two log terms into one. Then apply the definition of logs to convert the log equation into a rational equation. (If you don't know how to solve rational equations, try here.) Then apply the definition of logs to whatever solutions you get, rejecting any values which would not have been valid in the original equation.

If you get stuck, please reply with a clear listing of your thoughts and efforts so far. Thank you!

I got it. Having a single log on each side and then applying the rules! Thanks