1Evaluate or simplify each expression without using a calcul

1.)Evaluate or simplify each expression without using a calculator.

(a.) log 10,000

(b) In 1/e⁵

Solution

a. log 10000= log 10⁴= 4log 10=4

b. ln (1/e⁵)= ln e^-5=-5 ln e=-5

2. log₂(x+3)=4

x+3=2⁴

x= 13