The curve of $y=a{{\log }_{2}}\left( bx+1 \right)+4$ passes through $\left( 1,6 \right)$ and \(\

Question

The curve of $y=a{{\log }_{2}}\left( bx+1 \right)+4$ passes through $\left( 1,6 \right)$ and $\left( 3,8 \right)$. Find the values of $a$ and $b$. Hence, sketch the graphs of $y=a{{\log }_{2}}\left( bx+1 \right)+4$, labelling the coordinates of axial intercepts and equations of asymptotes.

Accepted Answer

$a=2$, $b=1$

Finding Unknowns of a Logarithmic Function

Finding Unknowns of a Logarithmic Function

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