- #1
Doubell
- 29
- 0
Homework Statement
by substituting y = log2x solve for x in the following equation:
√log2x = logs2√x
Homework Equations
logab=c then a^c = b
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