Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get detailed and accurate answers to your questions from a community of experts on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Solving exponential equations
Solve for x: 3^x+1 +3^x =324

Sagot :

crisforp
3^(x+1) + 3^x = 324 <=> (3^x)*3 + 3^x = 324 <=> (3^x)( 3 + 1) = 324 <=> (3^x)*4 = 324 <=> 3^x = 81 <=> 3^x = 3^4 <=> x = 4.
[tex]3^{x+1}+3^x=324\\\\3\cdot3^x+3^x=324\\\\3^x\cdot(3+1)=324\\\\4\cdot3^x=324\ \ \ /:4\\\\3^x=81\\\\3^x=3^4\iff x=4[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.