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Question Video: Changing the Subject of an Exponential Equation Mathematics • 10th Grade

Make ๐‘ฅ the subject of the equation ๐‘ฆ = 2^(๐‘Ž๐‘ฅ + ๐‘), assuming that ๐‘Ž โ‰  0.

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Video Transcript

Make ๐‘ฅ the subject of the equation ๐‘ฆ equals two to the ๐‘Ž๐‘ฅ plus ๐‘ power, assuming that ๐‘Ž does not equal zero.

We can go from exponential form to logarithmic form, ๐‘Ž to the ๐‘ฅ power equals ๐‘. So taking our equation and using the same circle method, two to the ๐‘Ž๐‘ฅ plus ๐‘ equals ๐‘ฆ. Now letโ€™s solve for ๐‘ฅ. Letโ€™s subtract ๐‘ and then divide by ๐‘Ž. So weโ€™ve subtracted ๐‘ and now divide both sides by ๐‘Ž.

Therefore, log base two of ๐‘ฆ minus ๐‘ divided by ๐‘Ž is equal to ๐‘ฅ.

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