Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

solve for x 64^x-2=256^2x

Sagot :

Figured it'd be easier to do by hand, so see the attached.

I got x = -6/5
kate200468
[tex] 64^{x-2}=256^{2x}\\ \\(4^3)^{x-2}=(4^4)^{2x}\\ \\4^{3x-6}=4^{8x}\ \ \ \ \Leftrightarrow\ \ \ \ 3x-6=8x\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3x-8x=6\\\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -5x=6\ \ \ \ \Leftrightarrow\ \ \ \ x=- \frac{6}{5} [/tex]
We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.