Question

What value of x satisfies this equation?4(2.5)^2x=4 The value of x is

Answer 1

Given:

`4(2.5)^(2x)=4`

Required:

We need to find the value of x.

Step-by-step explanation:

Divide both sides of the given equation by 4.

`(4(2.5)^(2x))/(4)=(4)/(4)`
`(2.5)^(2x)=1`

Take a natural log on both sides.

`In(2.5)^(2x)=In(1)`
`Use\text{ }In(a^b)=bIn(a).`
`2xIn(2.5)=In(1)`

Use In (1) =0 in the equation.

`2xIn(2.5)=0`
`x=0`

Final answer:

The value of x is 0.