Question

Log3 405-log3 5 Помогите)

Answer 1

Log(3)405/5 = log(3)81 = log(3)3⁴ = 4.

Answer 2

Sure, I can help you with that!

To solve the expression "log3 405 - log3 5," we can use the properties of logarithms. Specifically, we can use the property that says:

log_b(a) - log_b(c) = log_b(a/c)

So, in this case, we have:

log3 405 - log3 5 = log3(405/5)

Now, let's calculate the value inside the logarithm:

405/5 = 81

So, the expression simplifies to:

log3 405 - log3 5 = log3 81

Now, we need to determine what exponent (power) we need to raise 3 to in order to get 81:

3^4 = 81

Therefore:

log3 81 = 4

So, the final answer is:

log3 405 - log3 5 = 4