1. Solve the following simultaneous equations:

Question

log2 xy = 7
log2 (x^2/y) = 5

2. If log y x =a and log z x=b where x is not equal to 1, express the following in terms of a and b:

logy (yz)

Solve the following simultaneous equations:

y = 2 log3 x
y+1 = log3 9x

Thanks! I tried to work them out but I couldn't!

Answer 1

Try this on the first set:
log (xy)= logx + logy
log (x^2y)= 2logx + log2

Those ought to help.

Try that also on the second.
On the third,
y+1= log3 9x = log33^2 x= 2 + log3 x
y-1= log3 x
but y= 2log3 x then solve.

Answer 2

I still cannot work them out!!

Answer 3

What problems are you having? Where are you getting stuck?

Answer 4

I don't know. I simply cannot agree with the answers and I have tried to work them out many times

Answer 5

I am having problems in mmeasuring.