Question

Log3 45 +log3 900-log3 500

Answer 1

log₃ 45 + log₃ 900 - log₃ 500 =

= log₃ (45 · 900 : 500) =

= log₃ 81 = 4

Answer 2

$log_{3}(45) + log_{3}(900) - log_{3}(500) = log_{3}(45*900) - log_{3}(500) = log_{3}(\frac{45*900}{500} ) = log_{3}(9*9) = log_{3}(81) = log_{3}(3^{4}) = 4$