Ask Singapore Homework?
Upload a photo of a Singapore homework and someone will email you the solution for free.
Question
secondary 3 | A Maths
2 Answers Below
Anyone can contribute an answer, even non-tutors.
Hi Mr Eric, could you kindly help me on this question? Thanks :)
Date Posted: 4 years ago
Views: 174
See 2 Answers
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Good evening Candice! Here are my workings for this question. There will be no intersection between the graph, and hence there will not be real roots.
I will send in the graph soon.
I will send in the graph soon.
Date Posted:
4 years ago
Morning*
A very good morning to you, Mr Eric. Thanks for your prompt advice :)
done
{{ upvoteCount }} Upvotes
clear
{{ downvoteCount * -1 }} Downvotes
Candice, the graphs reflected on the diagram are as follows.
Red - y = log (to base 3) x
Blue - y = 2x - 1
Apparently the graphs do not intersect at all, meaning to say that the equation 9^x = 3x has no real roots at all.
To confirm this, I plot another graph y = 9^x - 3x to see if this graph intersects the x-axis or not (in green). If the graph intersects the x-axis, yes there is a solution to the equation 9^x - 3x = 0 (and hence there is a solution to the equation 9^x = 3x). Apparently, the non-intersection with the x-axis confirms my first set of two graphs above.
Red - y = log (to base 3) x
Blue - y = 2x - 1
Apparently the graphs do not intersect at all, meaning to say that the equation 9^x = 3x has no real roots at all.
To confirm this, I plot another graph y = 9^x - 3x to see if this graph intersects the x-axis or not (in green). If the graph intersects the x-axis, yes there is a solution to the equation 9^x - 3x = 0 (and hence there is a solution to the equation 9^x = 3x). Apparently, the non-intersection with the x-axis confirms my first set of two graphs above.
Date Posted:
4 years ago
I see...many thanks, Mr Eric. Have a good day ahead :)
360 Tutoring Program