If 32y + 6(3y) = 27. Find y.... Question 17269

If 3^2y + 6(3^y) = 27. Find y

-1

-3

Correct answer is E

3^2y + 6(3^y) = 27

This can be rewritten as (3^y)² + 6(3^y) = 27

Let 3^y = x

x² + 6x - 27 = 0

(x + 9)(x - 3) = 0

when x - 3 = 0, x = 3

sub. for x in 3y = x

3^y = 3

log₃3 = y

y = 1

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