We are given:
Using the property of exponents we may rewrite the equation as:
Divide through by 7:
2x + 2x+1 + 2x+2 = 56
The solution is the following:
2x + 2 * 2x+ 4 * 2x = 56
Why is that? I don't understand how it came to this. Where did the 4 come from? How come there's so many 2s?
7 * 2x = 56
2x = 8
How did 56 turn into 8? Shouldn't it be 82 instead of just 8?
2x = 23
x = 3
I only understand the last two steps. Please help, I need to know this (and more) for a test. This isn't the only equation that confuses me, but it would help to know what lead to the final solution.
Thanks, now I know how the conversion to multiplying occured.
However, I don't understand this part:
be 2x + 4x + 8x = 56?
How did you come up with the "1"?
Also, about dividing through by 7: 7 is not their common denominator - 2 is not in seven (at least not without a decimal). How does it stay unchanged? Is it because of the X?