(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

by substituting y = log2x solve for x in the following equation:

√log2x = logs2√x

2. Relevant equations

logab=c then a^c = b

3. The attempt at a solution

if y = log2x then the equation becomes √y = log2 x^1/2

this implies √y = 1/2 log2x which simplifies to √y = 1/2 y

[√y]^2 = [ 1/2 y]^2

y = (y^2)/4

4y = y^2

4y-y^2 = 0

y(4-y) = 0

4-y = 0

y = 4

if y = 4 and y = log2x then 4 = log2x

if loga b = c then a ^c = b

this implies that 2^4 = x and x = 16. anyone agrees with this solution

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# Homework Help: Another logarithm question.

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