So, I don't know how to work this one out. Can anybody point me in the right direction? It's due tomorrow, and I have to get this right. Thank you in advance.
. . .\(\displaystyle \large \mbox{Find the value of }\, n:\)
. . . . .\(\displaystyle \large \dfrac{1}{\left(\sqrt[3]{\strut 5\,}\right)^2}\, =\, 5^n\)
I've worked out that the answer to the equation in the denominator of the fraction is 2.92. I thought that I needed to cycle through all of the roots of 5 until I found 2.92, until I realised that that isn't the case. I don't really know what to do now, so any help would be appreciated.
. . .\(\displaystyle \large \mbox{Find the value of }\, n:\)
. . . . .\(\displaystyle \large \dfrac{1}{\left(\sqrt[3]{\strut 5\,}\right)^2}\, =\, 5^n\)
I've worked out that the answer to the equation in the denominator of the fraction is 2.92. I thought that I needed to cycle through all of the roots of 5 until I found 2.92, until I realised that that isn't the case. I don't really know what to do now, so any help would be appreciated.
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