Question

What is the solution to the equation 4(1/2)^x-1=5x+2? Round to the nearest tenth.

A. 0.6
B. 0.7
C. 1.6
D. 5.2

Answer 1

its A.
=0.6
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Answer 2

A. 0.6

Explanation:

We are given the equation,
`4((1)/(2))^(x-1)=5x+2`.

We will plot the functions involved,
`4((1)/(2))^(x-1)` and
`5x+2`.

Since, 'the solution of the equation is given by the intersection points of the graphs of the functions involved'.

We get, that the point (0.632, 5.161) is the intersection point of the equation.

As, we need the value of 'x' that satisfy the given equation.

So, we get from the intersection point, x= 0.632

Thus, rounding to nearest tenth, we have x= 0.6 is the solution of the equation.