1.

Find the value (1/2)log10625 – 5log102 + log10128

Answer» Correct Answer - Option 3 : 2

Properties used

1) nlogm = logmn

2) logm + logn = log(mn)

3) logm - logn = log(m/n)

Calculation

1/2log10625 – 5log102 + log10128

⇒ log106251/2 – log1025 + log10128

⇒ log1025 – log1032 + log10128

⇒ log10[25 × (128/32)]

⇒ log10100

⇒ log10102

⇒ 2log1010

⇒ 2



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