173k views
0 votes
Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Using a table of values, determine the solution to the equation below to the nearest-example-1
User Rindra
by
8.7k points

1 Answer

3 votes

Answer:

Option (1)

Explanation:

Given equation is,


2^x=1-3^x

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75


2^(-0.75)=1-3^(-0.75)

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25


2^(-1.25)=1-3^(-1.25)

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75


2^(0.75)=1-3^(0.75)

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25


2^(1.25)=1-3^(1.25)

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

User Daniele Bertella
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories