Question

Log3(45)-log3(5)+3^log3(5)

Answer 1

Вроді правильно ну якось так

Answer 2

To evaluate the expression log3(45) - log3(5) + 3^log3(5), we'll break it down step by step:

1. log3(45) - log3(5): First, simplify the logarithmic terms using the logarithmic property: log_a(b) - log_a(c) = log_a(b/c). log3(45) - log3(5) = log3(45/5) = log3(9).

2. 3^log3(5): Since log_a(a) = 1, we can simplify 3^log3(5) to 3^1, which is simply 3.

Now, we have: log3(45) - log3(5) + 3^log3(5) = log3(9) + 3.

To further simplify the expression, note that log_a(a^b) = b, so we can rewrite log3(9) as 2 (since 3^2 = 9).

Finally, the expression becomes: log3(45) - log3(5) + 3^log3(5) = 2 + 3 = 5.