Answer:

Step-by-step explanation:
1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

2) Multiply both sides by 27^x - 8.

3) Use the product rule: x^a x^b = x^a+b.

4) Simplify 1 + x - 8 to x - 7.

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

6) Use Change of Base Rule.

7) Use rule of 1: log 1 = 0.

8) Simplify 0/log_27 to 0.

9) Add 7 to both sides.

10) Switch sides.

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>
Answer:
math amirite is amirite
Step-by-step explanation:
math amirite
The length of side walk is 500 feet
<em><u>Solution:</u></em>
Given that, A rectangle park measures 300 ft by 400 ft
Length = 300 feet
Width = 400 feet
A sidewalk runs diagonally from one comer to the opposite corner
We have to find the length of side walk
Which means, we have to find the length of diagonal of rectangle
<em><u>The diagonal of rectangle is given by formula:</u></em>

Where,
d is the length of diagonal
w is the width and l is the length of rectangle
<em><u>Substituting the values in formula, we get</u></em>

Thus length of side walk is 500 feet