CAMBRIDGE ADMISSIONS QUESTION: Find the real nonzero solution to the equation: 2⁹^x ÷ 8³^x = 1/4.
Автор: Prof Yusuf Abdulrahman
Загружено: 2025-11-28
Просмотров: 54
In this math tutorial our task is to find the value of x . This is a university of Cambridge qualifying exams challenge problem which can be solved by exploring some properties of exponents to reduce the exponential equation to a quadratic equation in which the real values of x is obtained by transforming the exponential equation into quadratic equation and then solve for the real value of the variable in an elegant and classy way.
Basic Concepts
Properties of exponents
a^m • a^n = a^m+n
a^m ÷ a^n=a^m-n
Substitution techniques.
Quadratic formula:
x=-b+_√b²-4ac/2a
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