Express  as a single  logarithm:-

3+1/2 log10  9-2 log10  5

Asked by janhavitopkhane68.9spicertl | 24th Jul, 2020, 07:57: PM

Expert Answer:

3 + 1/2 log10 9 - 2 log10 5
= 3 + 1/2 log10 32 - log10 52
= 3 + 1/2 x 2 log10 3 - log10 25
= 3 + log10 3 - log10 25
= 3 + log10 (3/25)
= 3 log10 10 + log10 (3/25)
= log10 103 + log10 75
= log10 (1000 x 3/25)
= log10 1200

Answered by Renu Varma | 25th Jul, 2020, 06:14: PM