Question

Hi, I was absent today in class and I really need help with question 5 I will be much appreciated if you show work and the step so I can be more understanding thank you!

Answer 1

We will have the folowing:

`x^(3.2)=87`

First, we take 3.2 to it's fraction form, that is:

`3.2=(16)/(5)`

So:

`x^{(16)/(5)}=87\Rightarrow\ln (x^{(16)/(5)})=\ln (87)`
`\Rightarrow(16)/(5)\ln (x)=\ln (87)\Rightarrow\ln (x)=(5\ln (87))/(16)`
`\Rightarrow e^(\ln (x))=e^{((5\ln(87))/(16))}\Rightarrow x=e^{(\ln (87^{(5)/(16)})}`
`\Rightarrow x=87^{(5)/(16)}`