Hi. Here is the problem I have on my homework that I need help on.
In Super Smash Bros, Lucario is able to get stronger as he hits. His attack strength is 0.7 at 0 damage, but 2.5 strength at 190 damage. The highest he can go is a strength of 3, how much damage would be needed to get to that number (round up if the result becomes a decimal)?
It was hard to understand the problem myself, So I tried to make it a little more simple. Let me know if a part of the question does not make sense.
Also, Sorry if my english is bad, english isn't really my best area.
+130518 We can set this up as an exponential equation in this form :
y = abx ......where y is the attack strength, a is .7 , b is to be determined and x is the damage
And we're given :
2.5 = .7b190 divide both sides by .7
2.5/.7 = b190 take the log of both sides
log(2.5/.7) = log b190 and we can write this as
log(2.5/.7) = 190 logb divide both sides by 190
log(2.5/.7)/ 190 = log b
And this says that b = 10^[log(2.5/.7)/190] = about 1.0067
And we can solve this :
3 = .7(1.0067)x where x is the damage we're looking for.......divide both sides by .7
3/.7 = 1.0067x take the log of both sides
log(3/.7) = log 1.0067x and we can write
log (3/ .7) = x log 1.0067 divide both sides by log1.0067
log (3 / .7) / log( 1.0067) = x = about 217.93 = 218 [rounded]
+130518 We can set this up as an exponential equation in this form :
y = abx ......where y is the attack strength, a is .7 , b is to be determined and x is the damage
And we're given :
2.5 = .7b190 divide both sides by .7
2.5/.7 = b190 take the log of both sides
log(2.5/.7) = log b190 and we can write this as
log(2.5/.7) = 190 logb divide both sides by 190
log(2.5/.7)/ 190 = log b
And this says that b = 10^[log(2.5/.7)/190] = about 1.0067
And we can solve this :
3 = .7(1.0067)x where x is the damage we're looking for.......divide both sides by .7
3/.7 = 1.0067x take the log of both sides
log(3/.7) = log 1.0067x and we can write
log (3/ .7) = x log 1.0067 divide both sides by log1.0067
log (3 / .7) / log( 1.0067) = x = about 217.93 = 218 [rounded]
