Please help to solve

 

Asked by jasi01f4 | 6th Oct, 2020, 11:02: PM

Expert Answer:

TO find the sum of integers in the domain of f(x) = log2log1/2log3(x-1)
We know that log x is defined for positive values of x
So, f(x) will be defined if all the logs are defined
f(x) is defined if log2 is defined
log2 is defined if log1/2log3(x-1) > 0 i.e. log3(x-1) > 1 i.e. x-1 > 3 i.e. x > 4
So, domain of f(x) is (4, infinity)

Answered by Renu Varma | 7th Oct, 2020, 10:11: AM