Please help with this algebra question!!

[Grrrrrrrrrrrrrrrr]

No calculators allowed. Not sure that would help anyway as I can't think where to begin!

Thanks in advance 🙏🏻

I'd start with
2^6 = 64
and
2^9=512

Yep, always good to have the powers of 2 in your Easy Recall memory ;-)

Failing that, the first thing to do in a question like this is to find the common factors - which in this case would lead you to the powers of 2.

Thank you both, I can sort of see a glimmer but my tired brain cannot take it any further. Would one of you have time to write out all the working for me?

5125 = 2(9x5) = 2^45

2^6 = 64
so
64^(45/6) = 64^X

x=45/6

FFS I still need to put some more ^ in there

Thank you! So x = 7.5? Or should it be left as a fraction?

Yes, either 7.5 or 15/2.

Thanks to@AnotherAdventFridge for the first step.

Thank you all, I'm v grateful 😊

@Januarydontbecool it would have been so much simpler using paper