Answer:
[tex]\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )[/tex]
Step-by-step explanation:
By logarithm rules
[tex]\ln1+2\ln2+3\ln3+....+10\ln10\\\ln1+\ln2^2+\ln3^3+....\ln10^{10}\\\ln(1\cdot2^{2} \cdot3^{3}\cdot4^{4} ...\cdot10^{10} )[/tex]