Question

Maria wrote the equation log (StartFraction x Over 2 EndFraction) + log (StartFraction 20 Over x squared EndFraction) = log 8 What is the solution to Maria’s equation?

x = three-tenths
x = four-fifths
x = five-fourths
x = ten-thirds

Answer 1

c

Explanation:

Answer 2

Option C.

Explanation:

The given equation is

`\log (x)/(2)+\log (20)/(x^2)=\log 8`

Using properties of logarithm, we get

`\log \left ((x)/(2)* (20)/(x^2)\right)=\log 8`
`[\because \log A+\log B=\log AB]`

`\log \left ((10)/(x)\right)=\log 8`

On comparing both sides, we get

`(10)/(x)= 8`

`(10)/(8)=x`

`(5)/(4)=x`

`x=(5)/(4)`

Therefore, the correct option is C.