Respuesta :

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{5}(2x) = 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= {5}^{4} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 2x= 625[/tex]

[tex]\qquad \sf  \dashrightarrow \: x= 625 \div 2[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = 312.5[/tex]

I Hope you understood the procedure ~

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