Respuesta :

Answer: [tex]x=\Large\boxed{5000}[/tex]

Step-by-step explanation:

Concept

[tex]\log _ab=c[/tex]

[tex]a^c=b[/tex]

Given equation

[tex]\log~(\dfrac{x}{5} )=3 \small\text{ (Base 10)}[/tex]

Simplify the logarithm

[tex]\dfrac{x}{5} =10^3[/tex]

Simplify the exponent

[tex]\dfrac{x}{5}=1000[/tex]

Multiply 5 on both sides

[tex]\dfrac{x}{5}\times5=1000\times5[/tex]

[tex]x=\Large\boxed{5000}[/tex]

Hope this helps!! :)

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