198401
contestada

Tina raised the number 3 to a power and then added 19 to the result .She obtained the sum 100. To what power did she raise 3 ?​

Respuesta :

2018jonw

Answer:

3^4, she raised it to the 4th power

Step-by-step explanation:

3^x+19=100

-19

3^x=81

We can make a table now to find what power of three = 81

Powers of three table

3^1=3 3^2=9 3^3=27 3^4=81

The power she raised the number to is 4.

What is equation

This is a mathematic expression or statement often used to represent word problems.

To solve this question, we need to write an equation to represent this problem.

[tex]3^x + 19 = 100\\ [/tex]

The equation above represents the problem.

Let's solve for x

[tex]3^x + 19 = 100\\ [/tex]

collect like terms

[tex]3^x = 100 - 19\\ 3^x = 81\\ [/tex]

[tex]3^x = 81\\ x = 4[/tex]

What we did above is that how many power are we going to raise 3 to give us 81 and the answer is 4 times.

learn more about equations here;

https://brainly.com/question/13729904

Otras preguntas