Expanding logarithms: lnexpand

The logarithm applied to a product can be converted into a sum of logarithms; namely,

log(x· y) = log(x) + log(y)

The lnexpand command does this expansion.

lnexpand takes one argument:
expr, an expression.
lnexpand(expr) returns the expression expr with logarithms of products rewritten as sums of logarithms.

Example.
Input:

lnexpand(ln(3*x^2)+ln(2*x+2))

Output:

⎛
⎝

⎞
⎠

+2 ln

⎪
⎪

+ln

⎛
⎝

⎞
⎠

+ln

⎛
⎝

x+1

⎞
⎠