Solve for {eq}x {/eq} if {eq}\displaystyle 8^{\displaystyle 2 - x} = 4^{\displaystyle 3 x} {/eq}.
Question:
Solve for {eq}x {/eq} if {eq}\displaystyle 8^{\displaystyle 2 - x} = 4^{\displaystyle 3 x} {/eq}.
Exponential Equations:
Exponential equations are those equations where the variable is an exponent of the equation. Equations like this can be solved by reducing both bases to equal quantities and then equating their exponents.
Answer and Explanation: 1
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View this answerThe equation is solved as follows by first looking to make the bases on either equal.
$$\begin{align} 8^{2 - x} &= 4^{3 x}\\ \left ( 2^3 \right...
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Chapter 10 / Lesson 7What is an exponential equation? Learn how to solve exponential equations and practice solving exponential equations with e, with 10, and with the property of equality.