Impara online a risolvere i problemi di limiti per sostituzione diretta passo dopo passo. Condense the logarithmic expression 3/2ln(4x^10)-1/5ln(2y^30). Applicare la formula: a\ln\left(x\right)=\ln\left(x^a\right), dove a=\frac{3}{2} e x=4x^{10}. Applicare la formula: \left(ab\right)^n=a^nb^n. Simplify \sqrt{\left(x^{10}\right)^{3}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 10 and n equals \frac{3}{2}. Applicare la formula: a\ln\left(x\right)=-\ln\left(x^{\left|a\right|}\right), dove a=-\frac{1}{5} e x=2y^{30}.

Condense the logarithmic expression 3/2ln(4x^10)-1/5ln(2y^30)