5 mũ x + 1 – 5 mũ x = 500

5 mũ x + 1 – 5 mũ x = 500

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  1. $5^{x+1}$ – $5^{x}$ = ${500}$

    ⇒ $5^{x}$ . ${5}$ – $5^{x}$ = ${500}$

    ⇒ $5^{x}$ . ( ${5}$ – ${1}$ ) = ${500}$

    ⇒ $5^{x}$ . ${4}$ = ${500}$

    ⇒ $5^{x}$ = ${500}$  :  ${4}$ 

    ⇒ $5^{x}$ = ${125}$

    ⇒ $5^{x}$ = $5^{3}$

    ⇒ ${x}$ = ${3}$

    $\text{Vậy x=3}$
    $\text{STUDY WELL !}$ 

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