[tex]log_{2}(15b - 15) - log_{2}(-b^{2} + 1) = 1[/tex]
[tex]log_{2}(\frac{15b - 15}{-b^{2} + 1}) = 1[/tex]
[tex]log_{2}(\frac{15(b) - 15(1)}{-1({b^{2}) - 1(-1)}}) = 1[/tex]
[tex]log_{2}(\frac{15(b - 1)}{-1(b^{2} - 1)}) = 1[/tex]
[tex]log_{2}(-\frac{15(b - 1)}{b^{2} - 1}) = 1[/tex]
[tex]log_{2}(-\frac{15(b - 1)}{b^{2} + b - b - 1}) = 1[/tex]
[tex]log_{2}(-\frac{15(b - 1)}{b(b) + b(1) - 1(b) - 1(1)}) = 1[/tex]
[tex]log_{2}(-\frac{15(b - 1)}{b(b + 1) - 1(b + 1)}) = 1[/tex]
[tex]log_{2}(-\frac{15(b - 1)}{(b - 1)(b + 1)}) = 1[/tex]
[tex]log_{2}(-\frac{15}{b + 1}) = 1[/tex]
[tex]2^{1} = -\frac{15}{b + 1}[/tex]
[tex]2 = -\frac{15}{b + 1}[/tex]
[tex]2(b + 1) = (b + 1)(-\frac{15}{b + 1})[/tex]
[tex]2(b) + 2(1) = -15[/tex]
[tex]2b + 2 = -15[/tex]
[tex]2b = 13[/tex]
[tex]\frac{2b}{2} = \frac{-17}{2}[/tex]
[tex]b = -8.5[/tex]
