How do you graph log functions?

Question

y = ln x - 1

y=log(base 8) x - 2

so i have to find the inverse and then find points to plot the graph. the ln confuses me and im not sure if im doing it right, please include step by step

Answer 1

y = ln x - 1
lnx = y + 1
x = e^(y + 1)
y, x (to 3 places)
-8,0.001
-7,0.002
-6,0.007
-5,0.018
-4,0.05
-3,0.135
-2,0.368
-1,1
0,2.718
1,7.389
2,20.086
3,54.598

y=log(base 8) x - 2
y + 2 = log(base8)x
x = 8^(y + 2)
y, x (to 3 places)
-5,0.002
-4,0.016
-3,0.125
-2,1
-1,8
0,64
1,512
2,4096

Answer 2

properly there are 2 techniques: graphing it on a calculator or only plugging in factors then connecting the dots. For the first situation, that is in elementary words typing interior the parts. For the 2d, you want to enter: log x/log 8 - 2

Answer 3

Well there are two ways: graphing it on a calculator or simply plugging in points then connecting the dots.

For the first problem, it is just typing in the parts.

For the second, you need to input: log x/log 8 - 2