Try making a prime factorization for the first two, and see if that helps any.
okay i have a bunch of problems, & i know I should know this but I can't remember what to do. I am very lost, so please help
If and , evaluate the following in terms of x and y:
(a)
(b)
(c) (d)
(c) is my major concern if only wanting to focus on one. but helping on all of them would be so helpful
The properties of logs might be useful here, that 216 seems to be a familiar number.. let's factor him and see what he really is.
216 = 2 * 108 = 2 * 2 * 54 = 2 * 2 * 2 * 27 = 2*2*2*3*9 = 2*2*2*3*3*3
So, I can rewrite my equation as Logb of 2*2*2*3*3*3. Use the property of logs to write this as:
logb 2 + logb 2 + logb 2 + logb 3 + logb 3 + logb 3
These can then be replaced by the equations you gave at the top as:
x + x + x + y + y + y
And finally simplified to
3x + 3y
And if your teacher has gone insane from teaching logs and demands all things be factored:
3(x + y)