Equations
The fully simplified solution to 22x-2-2=2-2
What is log2(3)
The intersection points between:
3x2-2y2+5=0
2x2-y2+2=0
What are (1,2), (1,-2), (-1,2), and (-1,-2)
The decay rate of y=1.2(0.21)x
What is 79%
The simplified expression log8(x)/log2(e) written in terms of the natural logarithm
What is 1/3 ln(x)
The exponential function that crosses through (-1,8/3) and (2,1/24)
What is y= 2/3 (1/4)x
The extraneous solution to ln(x-5)-ln(x+4)=ln(x-1)-ln(x+2)
What is x=-1
The formula (not in base e) of an object of temperature, u(t), cooling from an initial temperature, u0, of 100C to the temperature of the surrounding environment, T, of 30C according to u(t) = T + (u0 - T)ekt, if after 5 minutes the object's temperature is 80C
What is u(t)=30+70(5/7)t/5
The exact doubling time based on the model P(t)=125e2+t/2
What is t=ln(4)
The solutions to log2(log3|ln(x)|)=1
What are e9 and 1/e9
The corner points of the feasible region enclosed x=0, y=0, 2x+y=4, and x+y=9
What are (0,4), (0,9), (9,0), and (2,0)
The solution to e4x-3e2x=18
What is 1/2 ln(6)
Editors require 8 hours to proofread a movie script and 5 hours to proofread a television script. Each week the editors work no more than 110 hours. If the team proofreads no more than 10 movie scripts and at least 6 television scripts a week, the maximum profit when they make 400 dollars a movie script and 225 dollars a television script
What is $5350
The product of log2(2), log2(4), log2(8), ..., log2(2n)
What is n!
The domain of f(x)=ln|x2-16|/(log5(x^2-4)-1)
What is (-inf,-4)U(-4,-3)U(-3,-2)U(2,3)U(3,4)U(4,inf)
The solution (as a common log if needed) to f(g(x))=h(g(x)) if f(x)=2x, g(x)=x2, and h(x)=101/x
What is x=1/log(2)