Mister Exam

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Inequation:
(−3x−5)2:(−2x−3)2(−2x−1)2>0
abs(x-2)<=7
0,3^(4x+7)>=0,027^(3-x)
iog3*(x^2-2*x)>1
Identical expressions
log(x- one)^ two /log(four)<=log(three - two x)/log(2)
logarithm of (x minus 1) squared divide by logarithm of (4) less than or equal to logarithm of (3 minus 2x) divide by logarithm of (2)
logarithm of (x minus one) to the power of two divide by logarithm of (four) less than or equal to logarithm of (three minus two x) divide by logarithm of (2)
log(x-1)2/log(4)<=log(3-2x)/log(2)
logx-12/log4<=log3-2x/log2
log(x-1)²/log(4)<=log(3-2x)/log(2)
log(x-1) to the power of 2/log(4)<=log(3-2x)/log(2)
logx-1^2/log4<=log3-2x/log2
log(x-1)^2 divide by log(4)<=log(3-2x) divide by log(2)
Similar expressions
log(x+1)^2/log(4)<=log(3-2x)/log(2)
log(x-1)^2/log(4)<=log(3+2x)/log(2)

log(x-1)^2/log(4)<=log(3-2x)/log(2) inequation

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   2                       
log (x - 1)    log(3 - 2*x)
----------- <= ------------
   log(4)         log(2)

$$\frac{\log{\left(x - 1 \right)}^{2}}{\log{\left(4 \right)}} \leq \frac{\log{\left(3 - 2 x \right)}}{\log{\left(2 \right)}}$$

log(x - 1)^2/log(4) <= log(3 - 2*x)/log(2)

Solving inequality on a graph