I have an equation: $6 \cdot 4^x - 13 \cdot 6^x + 69^x = 0$
Is there an analytical way to solve for $x$ or is this something where numerical methods are the only feasible method? Taking logs of both sides is not enough to separate the terms.
2026-03-25 04:35:28.1774413328
Closed form to exponential equation?
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If $$6 \cdot 4^x - 13 \cdot 6^x + 6\cdot 9^x = 0 /:4^x$$ then $$ 6t^2-13t+6=0$$ where $t=(3/2)^x$ ...