Question

Which function is equivalent to f(x) = lnx

f(x)=log3x
f(x)=log10x
f(x)=logbx
f(x)=logex

Answer 1

The correct option is 4.

Explanation:

The given function is

`f(x)=\ln x`

ln x represents the natural logarithmic function. The base value of a natural logarithmic function is e. It means

`\ln x=\log_e x`

Substitute
`\ln x=\log_e x` in the given function.

`f(x)=\log_e x`

The function
`f(x)=\ln x` and
`f(x)=\log_e x` are equivalent.

Therefore, the correct option is 4.

Answer 2

hello :
f(x)=logex = ln(x)/ln(e) =ln(x) because : ln(e)=1