Answer:
[tex]\text{One factor of the given equation }3x^5=15\text{ is }x=\frac{1}{2}\times e^{0.2}[/tex]
Step-by-step explanation:
The given equation is :
[tex]3x^5=15\\\\\implies x^5=\frac{15}{3}\\\\\implies x^5=5\\\\\text{Multiplying by 2 on both sides}\\\\\implies 2x^5=10\\\\\text{Taking log on both sides}\\\\\implies \log(2x^5)=\log 10\\\implies 5\log(2x)=1\\\\\implies log(2x)=\frac{1}{5}\\\\\implies 2x=e^{\frac{1}{5}}\\\\\implies x = \frac{1}{2}\times e^{0.2}[/tex]
[tex]\text{Hence, one factor of the given equation }3x^5=15\text{ is }x=\frac{1}{2}\times e^{0.2}[/tex]
