Exponents

Question

0

267

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Solve for y if 9^y = 3^6

$\phantom{27 27^4 81 81^2 81^3 81^4}$

$\phantom{1^2 + 2^2 + \dots + n^2}$

Guest Jul 1, 2022

+2668

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Best Answer

Simplify the left-hand side: ${3^2}^y = 3^{2y}$ .

Note that the exponents have the same bases, so we have $2y = 6$ .

Now, just solve for y.

BuilderBoi Jul 1, 2022

BuilderBoi · Answer 1 · 2022-07-01T03:23:39

Simplify the left-hand side: ${3^2}^y = 3^{2y}$ .

Note that the exponents have the same bases, so we have $2y = 6$ .

Now, just solve for y.