Question

Use the power rule to simplify log₄ (5)⁹ .

a. (9)/(4)
b. (1)/(9)
c. (45)/(2)
d. (4)/(5)

Answer 1

To simplify log₄(5)⁹ using the power rule, we can rewrite the expression as 9 * log₄(5) which becomes approximately 17.397.

Step-by-step explanation:

To simplify log₄(5)⁹ using the power rule, we can rewrite the expression as 9 * log₄(5). Now, let's evaluate log₄(5):

log₄(5) = log(5) / log(4) ≈ 1.161 / 0.602 ≈ 1.933

Therefore, log₄(5)⁹ ≈ 9 * 1.933 = 17.397.

So the answer is not listed among the given options.