Which of the following is true regarding the solution to the logarithmic equation below?

Option C. is the correct option.

Step-by-step explanation:

The given expression is

We further solve this

Now we evaluate the options

A).

But the expression is given as

Wrong expression so not correct.

B).

Wrong expression again so not correct

C). By putting x = 5 in the expression

Therefore this option is the correct option.

D). By putting x = 5 in the expression

But the expression is

So this option is also not correct.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1