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Where Do I Go From Here

10=33.75^(2x)? Where do I go from here?

100 / (2 + (.75)^(2x)) = 45

100 / 45 = 2 + (.75)^(2x)

(20/9) - 2 = (.75)^(2x)

ln((20/9) - 2) = ln((.75)^(2x))

ln((20/9) - 2) = 2xln(.75)

ln((20/9) - 2) / 2ln(.75) = x ≈ 0.2163


I'm not sure what you did, I just did it the way I saw it written out.

Edit:
It seems you distributed the 45 across the denominator of the original. You cannot do this because the exponents aren't equal, in other words

45 * (.75)^(2x) ≠ (45 * .75)^(2x)

Where do I go from here?

I m a senior in high school and I asked a girl out yesterday while we were texting and she joked around and said what a great way to ask someone out with lmao emoji and then I said that I was going to ask her out at school but she left before I could ask and she said it the thought that counts,I asked "so what did you say and she said that we could go as friends and she s not ready for "a dating thingy" and that she s too busy to have a relationship with work and she explained that s why she broke up with her old boyfriend and because he was a douche and she said" Thank you though ❤" and that she hopes that this doesn t change anything and I said "don t worry I ll still find every chance I get to roast you if that what you want

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