+1768 First, we try to rewrite 675 as a power of 5. We can see that 675=3⋅3⋅3⋅3⋅5=54⋅33. Since we don't care about the factor of 3, this shows that 675 can also be written as 54.
We now have the equation 53x+2=54. Since for any real numbers a and b with a=0, am=an implies m=n, we must have 3x+2=4. Solving for x, we find x = 2/3.
Alternatively, since we want to isolate 5x, taking the logarithm of both sides (with an appropriate base) would be another approach. Note that this would ultimately lead to the same solution.
