Question

log a^3 - log a^2
please give in brief of​

Answer 1

Step-by-step explanation:

Given:-

log a^3 - log a^2

To find:-

Simplify log a^3 - log a^2

Solution:-

Method-1:-

Given that

log a^3 - log a^2

We know that

log a^m = m log a

=> 3 log a - 2 log a

=> (3-2) log a

=> 1 log a

=> log a

Method-2:-

Given that

log a^3 - log a^2

We know that

log a - log b = log (a/b)

=> log (a^3/a^2)

=> log (a×a×a/a×a)

=> log a

Solution:-

The value of the given logarithmic expression

log a^3 - log a^2 = log a

Used formulae:-

• log a^m = m log a

• log a - log b = log (a/b)