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

Answer:

Option C.

Step-by-step explanation:

The given equation is

$\log \dfrac{x}{2}+\log \dfrac{20}{x^2}=\log 8$

Using properties of logarithm, we get

$\log \left (\dfrac{x}{2}\times \dfrac{20}{x^2}\right)=\log 8$      $[\because \log A+\log B=\log AB]$

$\log \left (\dfrac{10}{x}\right)=\log 8$

On comparing both sides, we get

$\dfrac{10}{x}= 8$

$\dfrac{10}{8}=x$

$\dfrac{5}{4}=x$

$x=\dfrac{5}{4}$

Therefore, the correct option is C.

Answer 2

Answer:

c

Step-by-step explanation: