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Evaluate the logarithmic expression [logsubscript5(25) + logsubscript5(125) - logsubscript5(625)] / logsubscript5(100)

The value of the expression, rounded to the nearest hundredth, is {blank}

Respuesta :

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Step-by-step explanation:

[tex] \frac{ log_{5}(25) + log_{5}(125) - log_{5}(625)}{ log_{5}(100) } [/tex]

[tex] \frac{ log_{5}( \frac{25 \times 125}{625} ) }{ log_{5}(25 \times 4) } [/tex]

[tex] \frac{ log_{5}(5) }{ log_{5}(25) + log_{5}(4) } [/tex]

[tex] \frac{1}{2 + 2 log_{5}(2) } [/tex]

[tex]0.3495 = 0.35[/tex]

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