Using a table of values, determine the solution to the equation below to the nearest fourth of a unit.
2-5^x=2^x-3

A.x ≈ -1.25
B.x ≈ 1.25
C.x ≈ 0.75
D.x ≈ -0.75

Respuesta :

C is definitely the correct answer

The solution to the equation 2-5^x = 2^x - 3 is x = 0.75

How to solve the question?

Substitute the given values of x in the given expression,

Option A:

LHS = f(-1.25) = -1.866

RHS = f(-1.25) = -2.58

Option B:

LHS = f(1.25) = -5.48

RHS = f(1.25) = -0.62

Option C:

LHS = f(0.75) = -1.34

RHS = f(0.75) = -1.32

Option D:

LHS = f(-0.75) = 1.70

RHS = f(-0.75) = -2.40

when x = 0.75, LHS close to RHS.

Hence, the solution to the equation 2-5^x = 2^x - 3 is x = 0.75

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