Need some help for logarithms please!

Question

Given $\log_2 P=x, \log_2 Q=y,$ and $\log_2 R=z$, determine $$\log_2 \frac{R^2\sqrt{Q}}{P^3}$$ interms of $x,y$ and $z$

Could someone please take me through the steps on how to solve this. Thank you!

Answer 1

Nobody should do this problem for you since it is an assignment for you.

But you should think about the basic properties of logarithms (these are true for any base):

• $\log ab = \log a + \log b$
• $\log a/b = \log a - \log b$
• $\log a^n = n\log a$

Using these, you can break up your expression in terms of the known quantities you are given.