All categories

2 years ago

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

1 answer:

8 0

$(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12$

You might be interested in

Wyatt and Jayleen help out on their family farm. They have 11 dairy cows, and they

Svetlanka [38]

Answer:

74.25 gallons of milk per day

Step-by-step explanation:

6.75 gallons of milk/cow×11 cows=74.25gallons of milk per day

7 0

2 years ago

The midpoint of A (-4, 2) and B(8, 5) is

Norma-Jean [14]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ -4}}\quad ,&{{ 2}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 5}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ 8}} -4}{2}\quad ,\quad \cfrac{{{ 5}} + {{ 2}}}{2} \right)$

8 0

2 years ago

Read 2 more answers

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites

mash [69]

The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

Total number websites=5

Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

Learn more about probability here:brainly.com/question/25688842

6 0

2 years ago

Solve if x is 3.<br> 91+x raise to power2

Triss [41]

X=3
91 + x^2
91 + 3^2
91 + 9
91 + 9 = 100

6 0

3 years ago

Read 2 more answers

HELPP QUICKKK its timedd

Sever21 [200]

Answer:

Step-by-step explanation:

6 0

3 years ago