Hello all. I am developing data structure and was able to come up with a formula involving certain attributes.

All variables are integers >0

B and Y are variables about specific geometry of hardware.

C is also determined by hardware but can change for different hardware.

\(\displaystyle (2^{X} - 1)\cdot B+\sqrt{Y}\cdot (C^{X} - C^{X-1})= Y\)

*Latex is not displaying it correctly so here is the full parenthesized text also, this will display correctly if plugged into wolframalpha

((2^X) - 1)B+sqrt(Y)(C^(X) - C^(X-1))= Y

I am needing to solve for X but my college log/exponent factoring eludes me.

I got as far as \(\displaystyle (B2^{X})/(C-1) + C^{X-1}=(Y-B)/\sqrt{Y}(C-1)\)

If anyone has any tips or suggestions please feel free to comment.

All variables are integers >0

B and Y are variables about specific geometry of hardware.

C is also determined by hardware but can change for different hardware.

\(\displaystyle (2^{X} - 1)\cdot B+\sqrt{Y}\cdot (C^{X} - C^{X-1})= Y\)

*Latex is not displaying it correctly so here is the full parenthesized text also, this will display correctly if plugged into wolframalpha

((2^X) - 1)B+sqrt(Y)(C^(X) - C^(X-1))= Y

I am needing to solve for X but my college log/exponent factoring eludes me.

I got as far as \(\displaystyle (B2^{X})/(C-1) + C^{X-1}=(Y-B)/\sqrt{Y}(C-1)\)

If anyone has any tips or suggestions please feel free to comment.

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