1.What is the value of log3 729?

6

Step-by-step explanation:

Rewrite -  log 3  ( 729 )  =  x   in exponential form using the definition of a logarithm. If  x and b are positive and real numbers and b does not equal 1, then  log b  ( x )  =  y  is equivalent to   b^{y}    = x  .

3  x  =  729

Create equivalent expressions in the equation that all have equal bases.

3^{x} = {3^6}

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x  =  6

The variable x  is equal to  6

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.