Question

Log 75 - log 9 + log 15=     5           5        5

Answer 1

по свойству логарифмов (если основание одинаковое и знак минус, то идёт делени, а + умножение):

Log   75/9+log 15=Log   75*15/9=log  125 = 3

     5               5          5                  5

Answer 2

log₅75-log₅9+log₅15=log₅(75*15/9)=log₅125=3

 

 

Answer 3

To solve the equation, we'll use the properties of logarithms.

The equation is: log(75) - log(9) + log(15) = 5

We can combine the logarithms using the properties:

log(75) - log(9) + log(15) = log(75/9) + log(15) = log(25/3) + log(15)

Next, we can simplify further:

log(25/3) + log(15) = log(25/3 * 15) = log(375)

Finally, we have:

log(375) = 5

Therefore, the solution to the equation is log(375) = 5.