Solving Exponential Equation @KasyannoEZMath

This tutorial video explains how to solve the given exponential equation with fractional base.

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[bvideoz]

It's amazing how well and clearly you explain each and every step 🥰
...where were you 30 years ago when I was needing you badly while struggling with maths at school? 😁

[divyanshsoni]

you are giving out good tutorials man keep it up love your content

[gelbkehlchen]

Solution:
(64/25)^(x/2-x²) = (25/40)^(4x²-3) ⟹
(8/5)^(x-2x²) = (5/8)^(4x²-3) ⟹
(8/5)^(x-2x²) = (8/5)^(3-4x²) |because of the same base ⟹
x-2x² = 3-4x² |+4x²-3 ⟹
2x²+x-3 = 0 |/2 ⟹
x²+x/2-3/2 = 0 |p-q-formula ⟹
x1/2 = -1/4±√(1/16+3/2) = -1/4±√(1/16+24/16) = -1/4±5/4 ⟹
x1 = -1/4+5/4 = 1 and x2 = -1/4-5/4 = -3/2