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What is the true solution to the logarithmic equation?
log2 [log2(sqrt4x)]=1​

User Maite
by
5.1k points

2 Answers

6 votes

Answer:

D. x=4

Explanation:

User Channi
by
5.1k points
3 votes

Answer:4

Explanation:

log₂[log₂(√4x)] = 1

log₂2 =1

So we replace our 1 with log₂2

log₂[log₂(√4x)] = log₂2

log₂ on bothside will cancel each other.

We will be left with;

[log₂(√4x)] = 2

log = power of exponential

√4x = 2²

√4x = 4

Square bothside

(√4x)² = 4²

4X = 16

Divide bothside by 4

4x/4 = 16/4

x = 4

User Emperor Eto
by
5.8k points