Question

One factor from the following equation 3x5=15

Answer 1

`\text{One factor of the given equation }3x^5=15\text{ is }x=(1)/(2)* e^(0.2)`

Explanation:

The given equation is :

`3x^5=15\\\\\implies x^5=(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)=(1)/(5)\\\\\implies 2x=e^{(1)/(5)}\\\\\implies x = (1)/(2)* e^(0.2)`

`\text{Hence, one factor of the given equation }3x^5=15\text{ is }x=(1)/(2)* e^(0.2)`