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# C2 logarithms questions Watch

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 .

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

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Updated: May 19, 2016
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