Answer:
x = 0.1046
Explanation:
I have chosen to interpret your −7⋅30.25x=−10 as being:
-7(30.25)^x = -10 and have the goal of solving this for x. Note that this problem, interpreted in this way, does not involve base 2.
Starting with −7⋅30.25^x=−10, divide both sides by -7. The result is:
30.25^x = 10/7
Taking the log (to the base 10) of both sides, we get:
x log 30.25 = log 10 - log 7 = 1 - log 7
1 - log 7 0.1549
Then x = ---------------- = --------------- = 0.1046
log 30.25 1.4807
x = 0.1046
If this is not the answer you expected, please double check to ensure that you have copied down the problem correctly.