(n-2)log7.6 = log41.7

I know how to input logarithms into the calculator and all that stuff, but I don't know the order of operations when it comes to the (n-2) at the front. How would I add the (n-2) into the problem?

Question

(n-2)log7.6 = log41.7

I know how to input logarithms into the calculator and all that stuff, but I don't know the order of operations when it comes to the (n-2) at the front. How would I add the (n-2) into the problem?

zepdrix · Answer

$$\Large\bf\sf (n-2)\log7.6\quad=\quad \log41.7$$So you want to solve for n, and you just want to make sure you apply your math rules in the correct order?

anonymous · Answer

Yes.

zepdrix · Answer

We'll start be getting (n-2) alone on the left side.
See how we have something multiplying the brackets?
So we'll do the inverse in order to isolate the (n-2).

We'll start by dividing both sides by log7.6

zepdrix · Answer

$$\Large\bf\sf (n-2)\quad=\quad \frac{\log41.7}{\log7.6}$$Does that step make sense?
The log7.6/log7.6 on the left side cancelled out.

anonymous · Answer

Oh, okay! And then add two, and get about 3.84. Thank you!

zepdrix · Answer

Got it? :) yay!