Question

If the equation below is solved by graphing, which statement is true?

log(6x+10) = log 1/2 x

a. the curves intersect at approx. x=0.46
b. the curves intersect at approx. x=0.75
c. the curves intersect at approx. x=1.11
d. the curves intersect at approx. x=3.07​

Answer 1

Explanation:

the curves intersect at approcx=0.46

Answer 2

a. the curves intersect at approx. x=0.46

Explanation:

The given function is

`log(6x+10)=log_{(1)/(2) }x`

If we graph this function, the result is like the image attached. There you can observe that the intersection point is at (0.464, 1.107).

If we round this points to the nearest hundred, they would be

x = 0.46 and y = 1.11.

Therefore, the right answer is

a. the curves intersect at approx. x=0.46