To determine which graph decreases from left to right, we need to look at the base of the logarithmic function. The base determines the direction of the graph.
1. log0.5x: The base is 0.5, which is between 0 and 1. This means that the graph will decrease from left to right.
2. log−2x: The base is -2, which is less than 0. However, since it is negative, the graph will not decrease from left to right.
3. lnx: This is the natural logarithm with base e, which is approximately 2.718. The graph of lnx increases from left to right.
4. log2x: The base is 2, which is greater than 1. This means that the graph will increase from left to right.
Therefore, the logarithmic function log0.5x has a graph that decreases from left to right.
Graph the following logarithmic functions. Which has a graph that decreases from left to right?(1 point)
Responses
log0.5x
logarithm subscript 0.5 baseline x
log−2x
logarithm subscript negative 2 baseline x
lnx
l n x
log2x
1 answer