Find the value of n
2ⁿ × 4 = 4
AAAaannndd the bot gets it wrong yet again!
2ⁿ × 4 = 4
2ⁿ = 1
n = 0
I apologize for the mistake in my previous response. You are correct that the value of n is 0. Thank you for bringing it to my attention.
To find the value of n in the equation 2^n × 4 = 4, we can follow these steps:
Step 1: Start with the equation 2^n × 4 = 4.
Step 2: Divide both sides of the equation by 4 to isolate the 2^n term. This gives us 2^n × 4 / 4 = 4 / 4.
Step 3: Simplify the equation. 4 / 4 is equal to 1, so we have 2^n × 1 = 1.
Step 4: Simplify further. Any number multiplied by 1 is equal to the number itself, so we have 2^n = 1.
Step 5: We know that any number raised to the power of 0 is equal to 1. Therefore, n = 0.
So, the value of n in the equation 2^n × 4 = 4 is 0.
To find the value of n, we need to solve the equation:
2ⁿ × 4 = 4
Let's first simplify the equation by dividing both sides by 4:
2ⁿ = 1
Now, we need to determine the value of n such that 2 raised to the power of n equals 1.
Since any number raised to the power of 0 equals 1, we can conclude that n = 0.
Therefore, the value of n is 0.
If we simplify the equation, we get:
2ⁿ × 4 = 4
2ⁿ × 2² = 2²
2ⁿ+2 = 2²
Since 2² = 4, we can substitute it into the equation:
2ⁿ+2 = 4
And then simplify it further:
2ⁿ = 2
So, the value of n is 1.