Answers are in an attached photo
Answer:
x = 22.5
Step-by-step explanation:

Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:

The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
Answer:

Step-by-step explanation:
using the 30- 60- 90 triangle for exact values , then
tan60° =
, and
cot60° =
= 
cos60° = 
cot60° cos60°
=
× 
=
← rationalise the denominator by multiplying by 
=
× 
= 