How do you solve #7^ { x - 2} = 343#?
1 Answer
Oct 30, 2016
5
Explanation:
How do we know this? Well for exponents we must create the same base before we can solve the equation. 7 itself is 7 to the power of one, whereas 343 is 7 to the power of 3. Now we can recreate the equation like this:
Now the exponents have the same base, which means we can ignore the bases, and look at the exponents. In the exponents, we can state:
Therefore,
Remember it is always essential to create the same base to solve exponent problems like this. Also note that when a value is equal to one, anything to the power of 0 is one. Thus you can simply set the exponents equal to zero.
