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C3 Exam question help (logs)

given that y = ln x, find expressions in terms of y for

(i) log (base 2) x

(ii)

ln {x^2}/{e}

help me please!! i hated this since C2 :frown:

Reply 1

DreamsComeTrue.

Also another graph question:

4 - x^2 = (modulas) 2x-1

how are we meant to find the exaclt solutions???

Reply 2

jonny23563

Well if

y = lnx

then

x = e^y

. Does that help?

Reply 3

Totally Tom

DreamsComeTrue.

given that y = ln x, find expressions in terms of y for

(i) log (base 2) x

(ii)

ln {x^2}/{e}

help me please!! i hated this since C2 :frown:

\log_a{x}=\frac{\log_b{x}}{\log_b{a}}

sort your latex out for the second one.

Reply 4

Totally Tom

DreamsComeTrue.

Also another graph question:

4 - x^2 = (modulas) 2x-1

how are we meant to find the exaclt solutions???

draw a graph.

Reply 5

DreamsComeTrue.

jonny23563

Well if

y = lnx

then

x = e^y

. Does that help?

yeah it does! i complety forgot about doing that! thanks :smile:

Reply 6

conroe-killed-the-k8-star

DreamsComeTrue.

Also another graph question:

4 - x^2 = (modulas) 2x-1

how are we meant to find the exaclt solutions???

To solve

4 -x^2 = |2x -1|

you need to remember that

f(x) = -f(x)

for

x< 0

and so swap the signs of the RHS accordingly.I think personally graph-drawing is a little unnecessary here.

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