-4)(n-1)=65536   I understand I must take the natural log. What I get is n=((ln 65536)/ln(-4))+1, but no such answer exist. The answer I should get is 9 and that only happens if I take the equation as follows (4)(n-1)=65536. I don't understand what happens to the negative sign on 4. I tried different methods using exponent rules, but the answer is -4(n-1)=48. Again, I can't take the natural log as the -4 is not defined with the natural log. Can you please explain the problem using a natural log and if possible with exponents rules. I need to understand what happens to the negative sign.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(-4)(n-1)=65536

 

I understand I must take the natural log.

What I get is n=((ln 65536)/ln(-4))+1, but no such answer exist.

The answer I should get is 9 and that only happens if I take the equation as follows

(4)(n-1)=65536. I don't understand what happens to the negative sign on 4.

I tried different methods using exponent rules, but the answer is -4(n-1)=48. Again, I can't take the natural log as the -4 is not defined with the natural log.

Can you please explain the problem using a natural log and if possible with exponents rules. I need to understand what happens to the negative sign.

 

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