Solve Math Olympiad Exponential Equations Like a Pro! скачать в хорошем качестве

Solve Math Olympiad Exponential Equations Like a Pro!

In this comprehensive tutorial, arranged in ascending order of complexity, we solve a series of challenging exponential and exponential‑logarithmic equations using exponent laws, change‑of‑base formulas, substitution strategies and mind-blowing algebraic manipulation to guide high school students, Math Olympiad contestants and math enthusiasts through clear, step‑by‑step solutions. A must-watch video for math exam preppers. 00:00 - 2³ˣ⁺⁴ = 4√2 03:02 - 18⁴ˣ⁻³ = (54√2)³ˣ⁻⁴ 06:09 - 2ˣ⁻² + 1/√(4ˣ⁺²) = 17/16 14:39 - 3²ˣ − 34·15ˣ⁻¹ + 5²ˣ = 0 25:48 - 2ˣ⁺³ − 3ˣ⁺² = 0 32:42 - 4ˣ + 6ˣ = 9ˣ 40:08 - 2ˣ + 8ˣ = 130 48:50 - (5ˣ + 4ˣ)/(5ˣ − 4ˣ) = 3 52:45 - (8ˣ + 27ˣ)/(12ˣ + 18ˣ) = 7/6 01:05:57 - x^(log₃(x)) = 81x³ 01:13:14 - x^log(25) + 25^log(x) = 10 01:21:29 - 3x^(log₅(2)) + 2^(log₅(x)) = 64 01:25:13 - 2^(log₂(3))ˣ + 3^(log₃(2))ˣ 01:29:24 - 2²ˣ·3ˣ = 4³ˣ⁺¹ 01:34:42 - System of Simultaneous equations: 2ˣ⁺²ʸ = 1 & 3²ˣ⁺ʸ = 27 → x, y #maths #algebra #examprep