Answered

Get expert insights and reliable answers to your questions on IDNLearn.com. Join our Q&A platform to access reliable and detailed answers from experts in various fields.

3^x - 3^(x-1) = 18 then 4^x is equal to

Sagot :

[tex]3^x-3^{x-1}=18\\\\3^x-3^x\cdot3^{-1}=18\\\\3^x-\frac{1}{3}\cdot3^x=18\\\\\frac{2}{3}\cdot3^x=18\ \ \ /\cdot\frac{3}{2}\\\\3^x=27\\\\3^x=3^3\iff x=3\\------------------\\4^x=4^3=64\leftarrow answer[/tex]
Konrad509idn
[tex] 3^x - 3^{x-1} = 18\\ 3^x-3^x\cdot3^{-1}=18\\ 3^x(1-\frac{1}{3})=18\\ 3^x\cdot\frac{2}{3}=18\\ 3^x=27\\ x=3\\\\ 4^x=4^3=64 [/tex]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thanks for visiting IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more helpful information.