Solving for x with natural logs

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Homework Help Overview

The discussion revolves around solving for x in the equation 5 = 9ln(x + 4), which involves natural logarithms. Participants are exploring the steps necessary to isolate x and simplify the equation.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are discussing the initial steps to take in solving the equation, with some suggesting simplifications and questioning how to eliminate the logarithm. There is a focus on basic algebraic manipulation and the properties of logarithms.

Discussion Status

Some participants have offered guidance on potential first steps, while others are encouraging the original poster to engage with the problem more actively. There is a mix of interpretations regarding the simplification process, and no consensus has been reached yet.

Contextual Notes

The original poster expresses uncertainty about how to begin, indicating a lack of prior working or steps shown. There is an emphasis on not getting bogged down in details and focusing on basic simplifications.

Ry122
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Hi
Im having difficulty solving for x in this equation.
5=9ln(x+4)
I have no idea where to start so i can't show u any working.
 
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can you show at least one step? there is at least one very easy step that you could do.

question: if i ask u to find ln(x+2) = 3, how can you get rid of ln?
 
Last edited:
Take another look and don't get bogged down in details until youve done some basic simplification. Work from the outside in and you should be able to rearrange this into something you're much more happy to deal with.

Roco covered it pretty well when he told you there was one easy step you could do =-)
 
raise e to the power of 3?
 
Ry122 said:
raise e to the power of 3?
yep

[tex]\exp^{\frac{5}{9}}=(x+4)[/tex]

now just solve for x
 

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