Evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1.

show your work.

use the resulting ordered pairs to plot the graph.

State the equation of the line asymptotic to the graph (if any)

y= -log5 ^x

please help I am very lost on this problem. Thanks

2 answers

Y = -Log(5^x)

Y = -Log(5^0.5) = -Log(2.236)=- 0.3495.
Y = -Log(5^1) = -Log(5) = -0.6990.
Y = -Log(5^2) = -Log(25) = - 1.3979.

(0.5 , -0.35) , (1.0 ,- 0.70) , (2.0 , -1.40).

I did one of each; you can add the remainihg points.
The asymptote is 0 for x > 1 and -1 for x in [0,1].