Question

What is the solution to the equation below? Round your answer to two decimal places. 4+4•log2 x=4

Answer 1

4+4•log2 x=14

x= 5.66

Answer 2

Option (C)

Explanation:

Given expression is,

`4+4* \text{log}_2(x)=14`

By subtracting 4 from both the sides of the equation.

`4* \text{log}_2(x)=14-4`

Now divide the equation by 4

`\text{log}_2(x)=(10)/(4)`

`\text{log}_2(x)=2.5`

[If
`\text{log}_ab=x` , then
`b=a^(x)`]

`x=(2)^(2.5)`

`x = 5.657`

x ≈ 5.66

Therefore, Option C will be the correct option.