How do you solve
216^x-1=6

Answers

Answer 1
Answer: 216^(x-1)=6 \n(6^3)^(x-1)=6 \n6^(3(x-1))=6 \n6^(3x-3)=6^1 \n3x-3=1 \n3x=4 \nx=(4)/(3)
Answer 2
Answer: 216^(x-1)=6\nln(216^(x-1))=ln(6)\n(x-1)ln(216)=ln(6)\nxln(216)-ln(216)=ln(6)\nxln(216)=ln(6)+ln(216)\nx= (ln(6)+ln(216))/(ln(216)) \approx  1,333

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What does x equal in the equation 15+3|5x-10|=24 ???

Answers

15+3|5x-10|=24\n\nFormula\ for\ absolute\ value\n\n|a|=a,\ for\ a \geq 0\n or\n|a|=-a,\ for\ a<0\n\n15+3(5x-10)=24\ \ \ \ or\ \ \ \ 15+3(-5x+10)=24\n\n15+15x-30=24\ \ \ \ or\ \ \ \ 15-15x+30=24\n\n15x-15=24\ \ \ \ \ or\ \ \ \ \ -15x+45=24\n\n15x=39\ \ \ \ or\ \ \ \ \ -15x=-21\n\nx=(39)/(15)\ \ \ \ or\ \ \ \ x=(21)/(15)
15+3|5x-10|=24\n3|5x-10|=9\n|5x-10|=3\n5|x-2|=3\n|x-2|=(3)/(5)\nx-2=(3)/(5) \vee x-2=-(3)/(5)\nx=(3)/(5)+2 \vee x=-(3)/(5)+2\nx=(3)/(5)+(10)/(5) \vee x=-(3)/(5)+(10)/(5)\nx=(13)/(5) \vee x=(7)/(5)\n

The unit rate of the glasses was $1.80 per glass. How much did Malcom spend on glasses?

Answers

If you mean by spectacles, it would cost Malcom about $3.60 for a pair.

What is 14 divided by 396.2 ??

Answers

0.035335689  is the correct answer
0.03533 is the answer to 14 devided by 396.2

The elevator at the local mall has a weight limit of 1,800 pounds and requires that the maximum person allowance be no more than nine people. Let w represent the amount of weight. Write an inequality to describe the maximum weight allowance in the elevator at one time.

Answers

The elevator at the local mall has a weight limit of 1,800 pounds is

9w ≤ 1800.

What is Inequality?

Inequalities are mathematical formulas in which neither side is equal. Unlike equations, we compare two values in inequality. In between, the equal sign is substituted by a less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The elevator at the local mall has a weight limit of 1,800 pounds.

Not more than 9 people allowed in the Elevator.

let the weight of one person be w.

Then, the inequality is

9w ≤ 1800

Learn more about Inequality here:

brainly.com/question/30231190

#SPJ3

The inequality is going to be w<_1800 (that's less than or equal too)

#1 what is 18 in simplified radical form? Answers: A. 9 and 2 B. 2 and 9 C. 3 and 2 D. 2 and 3 

 #2 What is  28 in simplified radical form?   A.  2 and 5    B.    2 and 7    C. 7 and 2       D.   4 and 7  

#3 What is  252  in simplified radical form?   A. 21 and 12    B. 12and 21 C. 7 and 6 D. 6 and 7                                                                                                                                                                      

#4 A square fishpond has an area of 68 square feet. To the nearest tenth, what is the length of one side of the fishpond?   A. 8.2 ft   B. 9.4 ft   C. 17.0 ft   D. 34.0 ft 

#5 A square-shaped billboard has an area of 295 square feet. Christy wants to put lights around the entire perimeter of the billboard. 

Approximately how much frame does she need?   A. 12 feet   B. 17 feet   C. 69 feet   D. 74 feet

Answers

1. √(18)= √(9*2)= 3√(2)

Answer: C

2. √(28)=√(4*7)=2√(7)

Answer: B

3. √(252)= √(36*7)=6√(7)

Answer: D

4. 68ft^2=√(68)\approx8,3

Answer: A

5. 252ft^2=√(252)\approx17,17 

BUT she want it all around so:

17,17*4=68,68\approx69

Answer: C

Express the following as a function of a single angle.
Cos^2(81°) - sin^2(81°)

Answers

Answer:

= Cos(162°)

Step-by-step explanation:

Cos^(2)(81°) - Sin^(2)(81°)

we know that;

Cos^(2)(x°) - Sin^(2)(x°) = Cos(2x°)

Cos^(2)(81°) - Sin^(2)(81°) = Cos(2 * 81°)

= Cos(162°)