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If 2^x-4 = 4^x-6 , then value of x is?​

1 Answer

6 votes

Answer:
x=1

Explanation:


2^x-4=4^x-6 is the equation that you've given us.

Now if we plot these two equations on the graph we notice there's an intersection at (1,-2). Therefore meaning that
x=1.

We can prove that by doing the following calculations to prove that both sides are equal to each other.

The left side of the equal sign:

Step 1: Write the equation down:


2^x-4

Step 2: Substitute x for the numerical value we found.


2^1-4

Step 3: Find the square of
2^1, which is itself, 2.


2-4

Step 4: Subtract 2 from 4. Which is a negative number, thus being -2.


-2

The right side of the equal sign:

Step 1: Write the equation down:


4^x-6

Step 2: Substitute x for the numerical value we found.


4^1-6

Step 3: Find the square of
4^1, which is itself, 4.


4-6

Step 4: Subtract 4 from 6. Which is a negative number, thus being -2.


-2

We know that
x=1 because when substituting x with 1, we get -2 on both sides. Therefore making this statement true and valid.


-2=-2

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