tions based on the properties of logarithms log335 log8l log

tions based on the properties of logarithms. log335 log8l log a In e Answer the following questions based on the properties of logarithms 5 x a+ b

Solution

1. log₃3^5x

Using log property, log_bb^a=a log_bb and log_bb=1

log₃3^5x=5x log₃3 = 5x

2. log₈1

Let x=log₈1 => 8^x=1 [Using property of log log_b(x)=y is equivalentto b^y=x]

=> 8^x=8⁰ => x=0 [As x⁰=1]

So, log₈1 = 0

3.log_aa = 1

4. ln e^a+b = (a+b) ln e = a+b