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KATRIN_1 [288]
4 years ago
11

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

Mathematics
1 answer:
likoan [24]4 years ago
7 0

Answer:

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.

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