−7⋅30.25x=−10 solve exponential equations using logarithms: base-2 and other bases

x = 0.1046

Step-by-step 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.

a

step-by-step explanation:

c. side angle side. u shares the same sides