SOLUTION: How many years will it take for percent of spam to reach 95% and spammers dont change.? p=13+45ln (x) p=95 95-13=45ln(x) I got this far. I'm so confused!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How many years will it take for percent of spam to reach 95% and spammers dont change.? p=13+45ln (x) p=95 95-13=45ln(x) I got this far. I'm so confused!      Log On


   

Question 208086: How many years will it take for percent of spam to reach 95% and spammers dont change.?
p=13+45ln (x)
p=95
95-13=45ln(x)
I got this far. I'm so confused!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
95-13=45ln%28x%29+ Start with the given equation.


82=45ln%28x%29 Combine like terms.


82%2F45=ln%28x%29 Divide both sides by 45.


1.822=ln%28x%29 Divide


e%5E1.822=x Use the property y=ln%28x%29 ---> e%5Ey=x to rewrite the equation.


6.184=x Raise 'e' to the 1.822th power to get 6.184


So the answer is x=6.184 which means that it will take about 6 years for the percent of spam to reach 95%.