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E) Simplity
i. 10g3 27 ^3

1 Answer

8 votes

Answer:

9

Explanation:

Log₃27³

Recall that 27 = 3³

Hence

Log₃27³ = Log₃3³⁽³⁾ = Log₃3⁹

From the laws of logarithms, we know that

Logₐa = 1 and Log aˣ = xLog a

As such, applying both laws

Log₃3⁹ = 9Log₃3

since Log₃3 = 1

9Log₃3 = 9 * 1

= 9