Can someone explain to me how to solve ㏒3(12)

log3 (12) = 2.2619.

Step-by-step explanation:

Let y = log3 12

Then by the definition of a logarithm

12 = 3^y

Now because a calculator gives us logs to the base 10  we use these logs:

log 12 = log 3^y

log 12 = y log 3

y = log 12 / log 3

y = 2.2619 to the nearest 10 thousandth.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0