for all of them calcuate whats in the prenteces first then use those numbers to solve the rest of the problem
The first step is to solve the equation by using the base property.
Given
Equation; log2x + log2(x – 6) = 4
<h3>What is logarithmic property?</h3>
The logarithmic function is an inverse function to exponentiation.
The equation is solved in the following steps given below.
![\rm log_2x+log_2(x- 6) = 4 \\\\log_2(x \times (x-6)=4\\\\x\times (x-6)=2^4\\\\x^2-6x=16\\\\x^2-6x-16=0\\\\](https://tex.z-dn.net/?f=%5Crm%20log_2x%2Blog_2%28x-%206%29%20%3D%204%20%5C%5C%5C%5Clog_2%28x%20%5Ctimes%20%28x-6%29%3D4%5C%5C%5C%5Cx%5Ctimes%20%28x-6%29%3D2%5E4%5C%5C%5C%5Cx%5E2-6x%3D16%5C%5C%5C%5Cx%5E2-6x-16%3D0%5C%5C%5C%5C)
Hence, the first step is to solve the equation by using the base property.
To know more log properties click the link given below.
brainly.com/question/2957521
Answer:
81 is the answer
Step-by-step explanation:
problem given: (-0.75x + 6) -(2.5x -1.9)
distribute: -0.75x+6 -2.5x-1.9
combine like terms: -0.75x-2.5x= -3.25x ; 1.9+6=7.6
solution: -3.25x+7.6
Let the length be x and the width be y.
<u>The perimeter is 18 in.</u>
2 ( x + y ) = 18
x + y = 9
x = 9 - y ----------------------- (1)
<u>The area is 18 in²</u>
xy = 18
x = 18/y . ----------------------- (2)
<u>Sub (1) into (2):</u>
9 - y = 18/y
<u>Multiply by y on both sides:</u>
9y - y² = 18
y² - 9y + 18 = 0
(y - 3)(y - 6) = 0
y = 3 or y = 6
<u>When y = 6</u>
x = 9 - y = 9 - 6 = 3
<u>Find the Length and Width:</u>
Length = x = 6
Width = y = 3
Answer: The length is 6 inches and the width is 3 inches.