How do you solve #log(x + 10) - log(x) = 2log(5)#?
1 Answer
Explanation:
Our first step is to rewrite the equation using some laws of logarithms, specifically,
Another law of logarithms,
Now, you didn't specify a base for the
Raise 2 to both sides:
The exponential and the logarithm are inverse functions, so the base-2 and the logarithms will cancel:
From here, we just need to use some simple algebra, multiplying both sides by
and then subtracting
And then simplify to arrive at our final answer