Question

In logarithmic graphs, growth occurs (in the shape of the left half of an arch) when in the equation logbasea(x), __

Answer 1

In logarithmic graphs, growth occurs (in the shape of the left half of an arch) when the value of x in the equation log_a(x) is increasing.

Step-by-step explanation:

In logarithmic graphs, growth occurs (in the shape of the left half of an arch) when the value of x in the equation loga(x) is increasing. This means that as x increases, the value of loga(x) also increases.

For example, let's consider the equation log10(x). If we plug in different values of x, we can see that as x increases, the value of log10(x) also increases:

• When x = 1, log10(1) = 0
• When x = 10, log10(10) = 1
• When x = 100, log10(100) = 2

So in the logarithmic graph of log10(x), we can see that as x increases, the graph moves upwards, forming the left half of an arch.