Question

Properties of logarithms

Answer 1

Answer:

Given below

Step-by-step explanation:

There are mainly 5 properties for a logrithm

They are

$1) log_{a} b+log_{a} c = log_{a} bc\\2) log_{a} b-log_{a} c = log_{a} \frac{b}{c} \\3) log_{a} b^{x} =xlog_{a} b\\4) log_{a} 1=0\\5)log_{a} a= 1$

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.