∜625 I DONT KNOW HOW TO DO THIS equation

Question

anonymous · Answer

ive been trying to do this for the last for the past 30 mins ._.

ipwnbunnies · Answer

Can you factor 625?

ipwnbunnies · Answer

Btw, we're not solving it, I guess. We're simplifying it.

anonymous · Answer

$$625=5^4$$ so 
$$\sqrt[4]{625}=5$$

anonymous · Answer

OMG thank you your so much help :)

mrnood · Answer

since you now have th eanswer - are you interested in a method?

anonymous · Answer

Yes please!!!

anonymous · Answer

because the next one is the same thing except with an x-variable in the problem ._.

mrnood · Answer

OK 
$$x= \sqrt[4]{625}=625^{\frac{ 1 }{ 4}}$$

so take logs 
$$logx= \log\sqrt[4]{625}=\log625^{\frac{ 1 }{ 4}}$$

$$logx= \frac{ 1 }{ 4 }\log625$$

So oyu can solve x fro any root using logs

anonymous · Answer

Thank you so much that is a great help i will be sure to write it down in my notebook for when i need it next time :)