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# A few basic C2 log questions i cant seem to do.. help would be much appreciated watch

1. 9) Given that y = 10^x, show that:
a) y^2 = 100
easy.. (10^x)^2 = (10^2)x = 100^x
b) y/10 = 10^x-1
any ideas how to show this one?

14) Given that p = log_q 16 (q as the base), express the following in terms of p.
a) log_q 2 don't know how to do this
b) log_q 8q don't know how to do this either

8^y = 4^(2x+3)
log_2 y = 4 + log_2 x
equation 1: (2^3)y = (2^2)^(2x+3)
2^3y = 2^(4x+6)
3y = 4x + 6
I've probably already gone wrong here. If I have, what was i supposed to do? and If i haven't, where do I go from here?

THANK YOU! ANY help is appreciated. this is a chapter im struggling on quite a bit
2. (Original post by dumb maths student)
Question.
9b.

14a
Rules of logarithms:
which you can apply to get blog2, and put it in terms of p.

14b

apply it to log(8q)

and you can use the rule in 14a as well to get an answer.

3

therefore:

Equation 2:

Then solve.
Ask if you need more help

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Updated: January 21, 2010
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