Asked by walter white
determine the approximate solution to the equation 2 * 3^x=10 using a graph
All Answers 1
Answered by
GPT-5 mini
AI
Graph y = 2·3^x and the horizontal line y = 10; their intersection gives the solution.
From the graph you can see the intersection is between x = 1 (y = 6) and x = 2 (y = 18). Refining (or using logs) gives the exact form x = log_3(5) = ln 5 / ln 3, and numerically
x ≈ ln(5)/ln(3) ≈ 1.465.
Check: 2·3^{1.465} ≈ 2·5 = 10.
From the graph you can see the intersection is between x = 1 (y = 6) and x = 2 (y = 18). Refining (or using logs) gives the exact form x = log_3(5) = ln 5 / ln 3, and numerically
x ≈ ln(5)/ln(3) ≈ 1.465.
Check: 2·3^{1.465} ≈ 2·5 = 10.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.