Question

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

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

Answer 1

Explanation:

`( log_(5)(25) + log_(5)(125) - log_(5)(625))/( log_(5)(100) )`

`( log_(5)( (25 * 125)/(625) ) )/( log_(5)(25 * 4) )`

`( log_(5)(5) )/( log_(5)(25) + log_(5)(4) )`

`(1)/(2 + 2 log_(5)(2) )`

`0.3495 = 0.35`