If x = - 2, then the value of log₄ (x²/4) - 2 log₄ (4x⁴), is
(a) 2 (b) - 4 (c) - 6 (4) 0
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Step-by-step explanation:
(I am sorry that I cannot type in subscript so I am using superscript for the base instead. Please adjust with it. Thanks.)
log⁴(x²/4) - 2log⁴(4x⁴)
Substituing the value of x,
log⁴([-2]²/4) - 2log⁴(4[-2]⁴)
= log⁴(4/4) - 2log⁴(4 × 16)
= log⁴(1) - 2log⁴(64)
= 0 - 2 × 3
= -6
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