Logarithms (Please do what the question is asking)

 1) 2.059

               2) 3.220

Step-by-step explanation:

1) log₆ 40

= log₆(5 x 8)

= log₆5 + log₆8

= 0.898 + 1.161

= 2.059

2) log₆ 320

= log₆ (40 x 8)

= log₆40 + log₆8

= 2.059 + 1.161

= 3.220

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

25/14 or 1.

step-by-step explanation:

the dots mean that it has infinitely more numbers behind it