the curve with the equation y= 3* 2^x meets the curve with the equation y= 15- 2^(x+1) at point P. find using algebra the exact x coordinate of P.
Answers
Given : curve with the equation
y= 3* 2ˣ
y = 15 - 2ˣ⁺¹
intersects at point P
To Find : x coordinate of P.
Solution:
y= 3* 2ˣ
y = 15 - 2ˣ⁺¹
3* 2ˣ = 15 - 2ˣ⁺¹
=> 3* 2ˣ + 2ˣ⁺¹ = 15
=> 3* 2ˣ + 2.2ˣ = 15
=> 2ˣ (3 + 2) = 15
=> 2ˣ (5) = 15
=> 2ˣ = 3
=> x log 2 = log 3
=> x = log 3/log 2
y= 3* 2ˣ = 3 * 3 = 9
Exact x coordinate of P is log 3/log 2 or log₂ 3
Learn more:
(0,0),Write the abscissae and ordinates of the given point. - Brainly.in
brainly.in/question/4775086
the point whose abscissa is equal to its ordinate which is equidistant ...
brainly.in/question/10112102
Plot three poinys A,B,C which have same abscissa 4 but lie in 1st and
brainly.in/question/10685225
Answer:
the curve with the equation y= 3* 2^x meets the curve with the equation y= 15- 2^(x+1) at point P. find using algebra the exact x coordinate of P.