Answered

Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

2^n+1 = 1/8solve each equation by solving Nthe answer is -4 but I need to solve how to do it

Sagot :

Solution

For this case we have the following equation:

[tex]2^{n+1}=\frac{1}{8}[/tex]

And we can do the following:

[tex]\frac{2^n}{2}=\frac{1}{8}[/tex]

Solving for n we have:

[tex]2^n=\frac{1}{4}[/tex]

Then we can apply natural log on both sides and we got:

[tex]n\ln (2)=\ln (\frac{1}{4})[/tex][tex]n=\frac{\ln (0.25)}{\ln (2)}=-4[/tex]

Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.