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f(xy)=f(x)+f(y) is true for all...

f(xy)=f(x)+f(y) is true for all

A

Polynomial function f

B

Trigonometric function f

C

Exponential function f

D

Logarithmic function f

Text Solution

Verified by Experts

The correct Answer is:
D
Let f(x)=logx
`therefore` f(y)=logy
`f(xy)=log(xy)=logx+logy`
`impliesf(xy)=f(x)+f(y)`
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