Esercizio
$\frac{5}{2}\ln\left(16x^6\right)-\frac{2}{5}\ln\left(2y^{30}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Condense the logarithmic expression 5/2ln(16x^6)-2/5ln(2y^30). Applicare la formula: a\ln\left(x\right)=\ln\left(x^a\right), dove a=\frac{5}{2} e x=16x^6. Applicare la formula: \left(ab\right)^n=a^nb^n. Simplify \sqrt{\left(x^6\right)^{5}} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 6 and n equals \frac{5}{2}. Applicare la formula: a\ln\left(x\right)=-\ln\left(x^{\left|a\right|}\right), dove a=-\frac{2}{5} e x=2y^{30}.
Condense the logarithmic expression 5/2ln(16x^6)-2/5ln(2y^30)
Risposta finale al problema
$\ln\left(\frac{1024x^{15}}{\sqrt[5]{\left(2\right)^{2}}y^{12}}\right)$