I'm just studying some further mathematics units for my own benefit before I undertake a PHD in chemical engineering next year. I feel the learning of the mathematical concepts at this level will help me massively as I seek to take a leap into the next stage of academia. I've been doing well all week, specifically looking at how the rules of logarithms apply, what they are and how to figure out a multitude of things relating to logs in mathematical scenarios.
I've found this question towards the back of one of the textbooks:
Given that $ \log_2(x - 5y + 4) = 0 \ $ and $ \ \log_2(x + 1) -1 \ = \ 2 \ \ \log_2 y \ $, find x and y.
I've been staring at my log rules for the past 20 minutes and I have several versions of how I could rearrange these equations for further derivations. What would be the most useful first step to take however? To multiply out, logs all in?
Thanks for any assistance.