Question

Which of the below is not one of the properties of logarithms?

A; the log of a product (ab) is equal to the addition of log a nad log b
B; the log of the sum of a and b is equal to the sum of the log of a and the log of b
C; the lof of the quotient of a and b is equal to the log of a minus the log of b
D; the log of the quantity a raised to b is equal to the product of b and the log of a

Answer 1

option-B

Explanation:

we know that

Sum rule of logarithm:

`log(a)+log(b)=log(a* b)`

which is same as

the log of a product (ab) is equal to the addition of log a nad log b

Subtraction rule of logarithm:

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

which is same as

the log of the quotient of a and b is equal to the log of a minus the log of b

Exponent rule of logarithm:

`log(a^b)=blog(a)`

which is same as

the log of the quantity a raised to b is equal to the product of b and the log of a

so,

option-B is not correct