Solve log6 60 - log6 30

Mathematics

1 answer:

Mariana [72]2 years ago

5 0

Answer:

log_a(b) - log_a(c) = log_a(\frac{b}{c})

Using that formula we get:

log_6(60) - log_6(30) = log_6(2)

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What is the distance ?

Gwar [14]

Distance between 2 points formula: √(x2 − x1)² + (y2 − y1)²

= √(7 - (-3))² + (-1 - 5)²

= √10² + -6²

= √100 + 36

= √136

≈ 11.662 (Note that this number is rounded because its a a non-terminating decimal).

Best of Luck!

4 0

2 years ago

X(x+3) + 34 = (x +5)(x+2)

My name is Ann [436]

X(x + 3) + 34 = (x + 5)(x + 2)

First, expand to remove parentheses.
$x^{2} + 3x + 34 = x^{2} + 2x + 5x + 10$
Second, add '2x + 5x' to get '7x'.
$x^{2} + 3x + 34 = x^{2} + 7x + 10$
Third, cancel out ' $x^{2}$ ' on both sides.
$3x + 34 = 7x + 10$
Fourth, subtract '3x' from both sides.
$34 = 7x + 10 - 3x$
Fifth, subtract '7x - 3x' to get '4x'.
$34 = 4x + 10$
Sixth, subtract '10' from both sides.
$34 - 10 = 4x$
Seventh, subtract '34 - 10' to get '24'.
$24 = 4x$
Eighth, divide both sides by '4', leaving the 'x' by itself.
$\frac{24}{4} =x$
Ninth, since '24 ÷ 4 = 6', simplify the fraction to '6'.
$6 = x$
Tenth, switch your sides to get the answer.
$x = 6$

Answer: x = 6

4 0

3 years ago

Ms.Waddell put a 12-inch tall bucket under a leak in her sink. The bucket fills at a constant rate of 1/2 inch in every 1/6 of a

Angelina_Jolie [31]

Answer:

4 hours

Step-by-step explanation:

To solve this question you will simply make a ratio type equation. You know that every 1/6 of an hour, or every 10 minutes, the bucket will fill 1/2 an inch. The bucket is 12 inches tall.

$\frac{10 min}{1/2 inch} = \frac{x min}{12 inches}$