can someone please help and explain?

Question

There is a relationship between perceived corruption and human development in a country that can be modeled by H(x)=0.3+0.28lnx.

In this​ formula, x represents the Corruption Perception​ Index, where 1 is very corrupt and 10 is least corrupt. The output gives the Human Development​ Index, which is between 0.1 and 1 with 1 being the best for human development.

(a) For country​ A, x=5. Evaluate H(5) and interpret the result.

​(b) The Human Development Index is 0.65 for country B. Find the Corruption Perception Index for country B.

Answer 1

H(5) = 0.3 + 0.2 (ln 5), use a calculator to determine ln 5

0.65 = 0.3 + 0.2 ln x Solve for x