I have the expression
$$(\ln a)^c+(\ln b)^c$$
Is there a way to combine these (i.e., remove the $+$ sign) to create a single expression in terms of $a,b,c$?
2026-03-25 22:26:06.1774477566
Is there a law for summing powers of logarithms?
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No :
You could simplify the different $\ln (a^c)+\ln (b^c)=c\ln (ab)$ or something similar
but unless you know something special about the relationship between $a, b, c$ then $(\ln a)^c+(\ln b)^c$ is essentially as difficult to simplify as $2^c+3^c$