Question

What is the true solution to the logarithmic equation?

log Subscript 2 Baseline left-bracket log Subscript 2 Baseline (StartRoot 4 x EndRoot) right-bracket = 1
A.x=-4
B.x=0
C.x=2
D.x=4

Answer 1

Answer:

D: X=4

Step-by-step explanation:

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Answer 2

The true solution to the logarithmic equation is 4

Logarithm expression

Given the logarithmic equation as shown

$log_2(log_2(\sqrt{4x}))=1$

This can be expressed as

$log_2(\sqrt{4x})= 2^1$

This can be further expressed as;

$(\sqrt{4x})= 4\\4x = 16\\x = 4$

Hence the true solution to the logarithmic equation is 4

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