Question

Which table represents the graph of a logarithmic function in the form y = log, when b > 1?хV-31814-2-11102.1ху-1.9--2.096-1.75--1.262

Answer 1

The given equation is

$\begin{gathered} y=log_bx \\ \text{where b > 1} \end{gathered}$

To know which of the options is the answer we substitute for x and y independently in the equation

For the graph, the values of the first option agrees with a value for b > 1

$\begin{gathered} -3=1og_b\frac{1}{8} \\ b^{-3}=\frac{1}{8} \\ b^{-3}=2^{-3} \\ b\text{ =2} \end{gathered}$

Again

$\begin{gathered} \text{if y=}1\text{ and x =}2 \\ 1=\log _b2 \\ b^1=2 \\ b\text{ =2} \end{gathered}$

So the answer is option A