Mister Exam

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Inequation:
22x-9≤1
(x-4)*(x-9)<=0
29*9^x-26*3^x-1>0
(12x+21)//(x-6)+62//(x^2-7x+6)>=0
Identical expressions
log two (nine ^x+ three ^(two *x- one)- two ^(x+ one /2))>x+ three , five
logarithm of 2(9 to the power of x plus 3 to the power of (2 multiply by x minus 1) minus 2 to the power of (x plus 1 divide by 2)) greater than x plus 3,5
logarithm of two (nine to the power of x plus three to the power of (two multiply by x minus one) minus two to the power of (x plus one divide by 2)) greater than x plus three , five
log2(9x+3(2*x-1)-2(x+1/2))>x+3,5
log29x+32*x-1-2x+1/2>x+3,5
log2(9^x+3^(2x-1)-2^(x+1/2))>x+3,5
log2(9x+3(2x-1)-2(x+1/2))>x+3,5
log29x+32x-1-2x+1/2>x+3,5
log29^x+3^2x-1-2^x+1/2>x+3,5
log2(9^x+3^(2*x-1)-2^(x+1 divide by 2))>x+3,5
Similar expressions
log2(9^x+3^(2*x-1)-2^(x+1/2))>x-3,5
log2(9^x-3^(2*x-1)-2^(x+1/2))>x+3,5
log2(9^x+3^(2*x-1)-2^(x-1/2))>x+3,5
log2(9^x+3^(2*x+1)-2^(x+1/2))>x+3,5
log2(9^x+3^(2*x-1)+2^(x+1/2))>x+3,5

log2(9^x+3^(2*x-1)-2^(x+1/2))>x+3,5 inequation

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   / x    2*x - 1    x + 1/2\          
log\9  + 3        - 2       /          
----------------------------- > x + 7/2
            log(2)

$$\frac{\log{\left(- 2^{x + \frac{1}{2}} + \left(3^{2 x - 1} + 9^{x}\right) \right)}}{\log{\left(2 \right)}} > x + \frac{7}{2}$$

log(-2^(x + 1/2) + 3^(2*x - 1) + 9^x)/log(2) > x + 7/2

Solving inequality on a graph