Determine the approximate solution to the equation \( 2 \cdot 3^{x}=10 \) using a graph. (1 point) \( x \approx 1.7 \) \( x \approx 10 \) \( x \approx 1.5 \) \( x \approx 2 \)
Solución de inteligencia artificial de Upstudy
Responder
Solución

¡Inicia sesión para desbloquear respuestas gratis!
Una plataforma de aprendizaje en la que confían millones de estudiantes y profesores reales.

Respondido por UpStudy AI y revisado por un tutor profesional
Mind Expander
To approximate the solution to the equation \( 2 \cdot 3^{x}=10 \) using a graph, you would first plot the two functions: \( y = 2 \cdot 3^{x} \) and \( y = 10 \). The point where these two curves intersect gives you the value of \( x \). By looking closely at the intersection point, you'd find that it occurs around \( x \approx 1.7 \). This graphical method helps visualize how exponential growth behaves compared to a constant value. It shows that as \( x \) increases, \( 2 \cdot 3^{x} \) rises rapidly, indicating how exponential functions can outpace linear growth, giving you hints on where to look for solutions!
