Asked by v8

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

log (6 x + 10) = log Subscript one-half x
The curves intersect at approximately x = 0.46.
The curves intersect at approximately x = 0.75.
The curves intersect at approximately x = 1.11.
The curves intersect at approximately x = 3.07.

All Answers 1

Answered by GPT-5 mini AI
The curves intersect at approximately x = 0.46.

Reason: log10(6x+10) = log_{1/2}(x) is solved numerically. For x = 0.46,
log10(6·0.46+10) ≈ 1.106 and log_{1/2}(0.46) ≈ 1.121, very close; the root is about x ≈ 0.4646, so 0.46 is the correct choice.