Solving An Exponential Equation: Easy Ways to Solutions

Solving An Exponential Equation: Easy Ways to Solutions

How to solve exponential equations using Lambert W function? In this informative video, we dive into the world of exponential equations and reveal quick and easy methods to simplify and solve them. Whether you're a math student seeking clarity or someone looking to brush up on your algebra skills, this tutorial is perfect for you. We'll guide you through step-by-step techniques and provide valuable tips to simplify exponential equations effortlessly. Get ready to unlock the secrets of solving exponential equations and find the answers with speed and confidence!

Topics covered:
Exponential equations
Exponents
Properties of exponents
Logarithms
Properties of logarithms
Algebraic manipulations
Math Olympiad preparation
Lambert W function
Algebraic Challenging Equation
How to solve exponential equations using Lambert W function?

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[walterwen]

Solving an Exponential Equation: 5^x = 5x; x = ?
5^x = 5x; 5x = 5^x > 0, When: x = 0, 5^x = 5^0 = 1 > 5x = 0; 1≥ x > 0
Trail and error method:
x 5^x 5x
1 5 = 5; Confirmed
0.5 2.365 < 2.5
0.25 1.495 > 1.25; 0.5 > x > 0.25
0.355 1.771 < 1.755
0.351 1.759 > 1.755 0.355 > x > 0.351
0.353 1.765 = 1.765; Confirmed
Final answer:
x =1 or x = 0.353
The calculation was achieved on a smartphone with a standard calculator app