I need help on a two sample t test question.

I have two sets of numbers:

X

54.5

67.35

4.1

and

Y

1510.5

3462.6

1045.4

I want to compare the mean to say that they are statistically different at 95% confidence interval

Since the two sets of number has unequal variances, I used a Welch's test. However, the p value for the test is 0.1192. The test is not significant. Why is that?

Then I took a log transformation on X and Y and they don't have unequal variances problem. I used a pooled t test. The P value is 0.0007. It is significant now.

The problem is I took a log transformation and I have the log difference and log difference confidence interval. If I take anti log on the difference, it is going to be the ratio of median and its confidence interval.

My question is how can I transform it back to get the confidence interval of the mean X-Y on its original scale?

Thanks a lot for any help!