Question

simplify without using tables : 2 log 10 5 + log 10 8 - 1/2 log 10 4​

Answer 1

Answer: 2

Step-by-step explanation:

log 5^2 + log8 - log 4^1/2

log (25×8) - log 2

log (200÷2)

log 100

therefore, 2 = answer

hence. 2 is your desired answer.

Answer 2

Answer:

Hi ,

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Here we use following laws:

1 ) log m + log n = log mn

2 ) log m - log n = log ( m/n )

3 ) m log n = log n^m

4 ) log ( base x ) x = 1

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2 log ( base 10 ) 5 + log ( base 10 ) 8 -

1/2 log ( base 10 ) 4

= 2log 5 + log 8 - 1/2 log 4

= log 5² + log 8 - log √4

= log 25 + log 8 - log √2²

= log ( 25 × 8 ) - log 2

= log 200/2

= log 100

= log 10²

= 2log ( base10 )10

= 2

I hope this helps you.

:)