SOLUTION: Use the properties of exponential and logarithmic functions to solve each system. {{{system(-2^(10-x)+y = 0, y = 8^(x+2))}}}

Algebra.Com
Question 1070040: Use the properties of exponential and logarithmic functions to solve each
system.


Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!
 


The second equation is solved for y, so substitute
8x+2 for y in the first equation:



Add 210-x to both sides:



Write 8 as 23



Remove the parentheses on the left by multiplying the
exponents:



Now we use the principle that 
if BP = BQ, then P = Q





Substitute in 






Answer: (x,y) = (1,512)

Edwin

RELATED QUESTIONS

Use the properties of exponential and logarithmic functions to solve each system.... (answered by Edwin McCravy)
y=x+8 x+y=2 use substitution to solve each system of... (answered by jim_thompson5910)
Use the method of substitution to solve the system. x^2+y^2=8... (answered by unlockmath)
Use substitution to solve each system of equations. 1.y=x x+=6 2.x+y=0 y=3... (answered by Alan3354)
Use the Substitution method to solve the system of equations. x + y = 10 y = x + 8 (answered by checkley77)
Use the Substitution method to solve the system of equations. x + y = 10 y = x + 8 (answered by richwmiller)
solve the following system of equations x^2+y^2=8... (answered by solver91311)
Use the Substitution Method to solve each system. y=x+2... (answered by stanbon)
1.Use the Substitution method to solve the system of equations. x + y = 10 y = x +... (answered by jim_thompson5910)