Answer to Question #185738 in Algebra for NN HLONGWANE

Question

If the graph of

y = log b x

passes through the point (8; 2), the value of b is

Answer 1

$y=log_ {b}x\\ b>0, b\not =1, x>0\\ (8,2)\\ 2=log_{b}8\\ 8=b^{2}\\ b=\sqrt{8}\\ b=2\sqrt2$