The value of log7350 is in which intervalSolutionlog7350 log

The value of log7(350) is in which interval?

Solution

log7(350)
=log7(7*50)
= log7(7) + log7(50)
= 1 + log7(50)
50 is in between 7^2 and 7^3
log7(7^2) = 2
log7(7^3) = 3

so,
log7(350) will lie in between 1+2 and 1+3 that is between 3 and 4
Actually it will be very close to 3

Chose the interval that is close to 3

Actual value is 3.01