Question

Logbase5 0.008 determine the value of following
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Answer 1

log ( 0.008 )

= log ( 8/1000)

= log ( 2³/10³ )

= log ( 2/10 )³

= log ( 1/5 )³

= log ( 5 )^-3

= -3 × log 5

[ Since log mⁿ = n log m ]

= -3 log 5 ( base 5 )

[ Since log x ( base x ) = 1 ]

= -3

I hope this helps you.