Question

(2 log10 5 + log10 4² + 3 log10 2) -2 = m log10 2. So find the value of "m".

Answer 1

above expression can be written as (using logarithmic identities) -

[ log10 (25) + log10 (16) + log10 (8) ] - 2 log10 (10) = m log10 (2)

log10 (25*16*8) - log10 (100) = log10 (2^m)

log10 (3200) - log10 (100) = log10 (2^m)

log10 (3200/100) = log10 (2^m)

log10 (32) = log10 (2^m)

32 = 2^m

or..... m=5

Answer 2

Step-by-step explanation:

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