solve for x Q log2x2- log2 x2=3 - Maths - Relations and Functions

Question

solve for x
Q log 2 x 2 -   log 2   x 2 = 3

Aarushi Mishra · Accepted Answer

log2 x2-log2 x2=3Use logabm=m logablog2 x2-2 log2 x=3Let log2 x=tt2-2t=3t2-2t-3=0t2-3t+t-3=0tt-3+t-3=0t-3t+1=0t=3 or t=-1log2 x=3 or log2 x=-1x=23 or x=2-1x=8 or x=12

solve for x Q. log 2 x 2 - log 2 x 2 = 3

solve for x
Q. ${(\log_{2} x)}^{2} - \log_{2} x^{2} = 3$