Solve for x 1200(1.03)^x=800(1.08)^x

FobelloE 2020-11-08 Answered
Solve for x 1200(1.03)x=800(1.08)x
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Jozlyn
Answered 2020-11-09 Author has 85 answers
1200(1.03x)=800(1.08x)
divide by 800 on both sides
divide by 1.03x on both sides
1200800=1.08x1.03x
32=(1.081.03)x
ln(32)=ln((1.081.03)x)
ln(32)=xln(1.081.03)
Exact: x=ln(32)ln(1.081.03)
Decimal, approximate: x = about 8.554
Not exactly what you’re looking for?
Ask My Question

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

You might be interested in

asked 2022-05-06
x^3−3x^2+3x−1
asked 2022-04-05
Evaluating a limit with variable in the exponent
For limx(12x)x2
I have to use the L'Hospital"s rule, right? So I get:
limxx2log(12x)
And what now? I need to take the derivative of the log, is it: 112x but since there is x, I need to use the chain rule multiply by the derivative of x2?
asked 2022-07-03
Solve the following equations:
3 x 2 + 5 x + 14 = 0
asked 2022-04-02
Exponential and logarithmic series: Find the sum of
22+322!+423!+ to infinity
asked 2020-10-31
The arithmetic mean (average) of two numbers c and d is given by x=c+d2
The value x is equidistant between c and d, so the sequence c,x, d is an arithmetic sequence. inserting k equally spaced values between c and d, yields the arithmetic sequence c,X1,X2,X3,X4,...,Xk,d. Use this information for Exercise.
Insert four arithmetic means between 19 and 64.
asked 2021-08-20
While using Cost-benefit analysis which of the following is a true statement.
a) It will always produce a recommendation consistent with the simple payback period method.
b) It will always produce a recommendation consistent with the present worth, future worth, and annual worth methods.
c) It can be used only to evaluate projects from the public sector (such as bridges and roadways).
d) None of the above.
asked 2021-11-22
Use the properties of logarithms to expand the expression as a sum, difference, and/or multiple of logarithms. (Assume the variable is positive.)
ln(xx2+1)

New questions