Hey! Sign in to get help with your study questionsNew here? Join for free to post
 You are Here: Home >< Maths

# C2 logarithms questions

Announcements Posted on
Last day to win £100 of Amazon vouchers - don't miss out! Take our quick survey to enter 24-10-2016
1. I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

(a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

(b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

(c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .
2. what exam board r u and what letter soloman paper??
3. (Original post by jessyjellytot14)
I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

(a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

(b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

(c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .
For the first part it becomes easy to see when you write .

Sketching just requires noting that the curve is always (strictly) increasing (and concave up) and it tends towards 0 as . Then multiplying by 2 all you really need to change is the y-intercept.

From part (a) it should be easy to sketch the other curve.

Part (c) is just a matter of isolating x, so start by multiplying both sides by .
4. sec C + http://www.cymath.com/answer.php?q=(...%5Ex)%20%20%20

then 3^x= rt0.5=1/rt2*rt2/rt2=0.5rt2
y=2*0.5rt2=rt2
answer = rt2

(Original post by jessyjellytot14)
I was doing a solomon paper and stumbled across this question and don't know how to do any of the parts. I tried part (c) but it didn't work out.

(a) Describe fully a single transformation that maps the graph of y = 3x onto the graph of y = ( 1/3 )x.

(b) Sketch on the same diagram the curves y = ( 1/3 )x and y = 2(3x), showing the coordinates of any points where each curve crosses the coordinate axes.

The curves y = ( 1/3 )x and y = 2(3x) intersect at the point P.

(c) Find the x-coordinate of P to 2 decimal places and show that the y-coordinate of P is (square root)2 .

Write a reply…

Submit reply

## Register

Thanks for posting! You just need to create an account in order to submit the post
1. this can't be left blank
that username has been taken, please choose another Forgotten your password?
2. this can't be left blank
this email is already registered. Forgotten your password?
3. this can't be left blank

6 characters or longer with both numbers and letters is safer

4. this can't be left empty
your full birthday is required
1. Oops, you need to agree to our Ts&Cs to register
2. Slide to join now Processing…

Updated: May 19, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Today on TSR

### How does exam reform affect you?

From GCSE to A level, it's all changing

Poll
Useful resources

## Make your revision easier

### Maths Forum posting guidelines

Not sure where to post? Read here first

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

Can you help? Study help unanswered threads

## Groups associated with this forum:

View associated groups
Study resources

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.