An important rule of logs is a*log b = log b^a.
Thus, 2 (log to the base 5 of )(5x^3) = (log to the base 5 of ) (5x^3)^2, or
(log to the base 5 of ) (25x^6).
Next, (1/3) (log to the base 5 of ) (x^2+6) = (log to the base 5 of ) (x^2+6)^(1/3).
Here, the addition in the middle of the given expression indicates multiplication:
2Log5(5x^3)+1/3log5(x^2+6) = (log to the base 5 of ) { (5x^3)^2 * (x^2+6)^(1/3) }.
Here we've expressed the given log quantity as a single log.
Y = -1/2x - 1
Tell me if you need explanation
Hi there!
There is an initial cost of $210,000 (which you're just going to pay once)
Then it costs $500 per day to operate.
The number of days is represented by "x".
Your equation in function notation should look like this :
f(x) = 500x + 210,000
There you go! I really hope this helped, if there's anything just let me know! :)
