Question

Exercise 7.2
1. Evaluate : (i) log 20 + log 5
(ii) log 400 - log 40
2. Evaluate : (i) log10raise to power5+ log 10 power 6


PLEASE HELP ME IN SOLVING THIS LOGS

It's urgent ​

Answer 1

Answer:

i) log20 + log5

= log(20*5)

= log 100

= 2

ii) log400 - log40

= log(400/40)

= log100

= 2

iii) log10^5 + log10^6

= 5log10 + 6log10

= 5 + 6

= 11

Step-by-step explanation:

Properties used:

log(a) + log(b) = log(ab)

log(a) - log(b) = log(a/b)

log(m^n) = n*log(m)

log10 = 1

Assuming all logs are to the base 10.

Hope it helps!