4. The difference log2 (3) - log2 (12) is equal to

Step-by-step explanation:

-2

Apply this particular rule of logs:

log a - log b = log a/b

Therefore, log2 (3) - log2 (12) = log2 (3/12) = log2 (1/4)

This last result simplifies to  log2 1 - log2 4 = 0 - 2 = -2

-2

Step-by-step explanation:

~Simplify using log properties

~Apply log rules

~Rewrite

~Apply log rules

~Apply log rules

-2 * 1

~Simplify

-2

Best of Luck!

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9