Question

Properties of logarithms

Answer 1

Given below

Explanation:

There are mainly 5 properties for a logrithm

They are

`1) log_(a) b+log_(a) c = log_(a) bc\\2) log_(a) b-log_(a) c = log_(a) (b)/(c) \\3)  log_(a) b^(x) =xlog_(a) b\\4)  log_(a) 1=0\\5)log_(a) a= 1`

these are the main properties of logrithm

Log of 1 to any base will always be 0

Log of a number to its own base is always 1

Sum of log of two numbers will equal log of product of those two numbers

DIfference of log of two numbes will equal log of division of I number by II number provided second not equal to 0

log is defined only for positive numbers

log of a number less than 1 would be negative.