+576 The reason this looks so challenging is because we are dealing with two different bases, 4 and 2. The good news is that it is relatively simple to convert our base 4 to base 2 because 2^2=4
It looks like this
(2^2)^(x+5)=2^(3x+1)
we have a common base now but need to simplify the left side of the equation
2^(2(x+5))=2^(3x+1)
2^(2x+10)=2^(3x+1)
now that we have a common base on both sides of the equation it must be the case that our exponents are equivalent.
2x+10=3x+1
10=x+1
9=x
+576 The reason this looks so challenging is because we are dealing with two different bases, 4 and 2. The good news is that it is relatively simple to convert our base 4 to base 2 because 2^2=4
It looks like this
(2^2)^(x+5)=2^(3x+1)
we have a common base now but need to simplify the left side of the equation
2^(2(x+5))=2^(3x+1)
2^(2x+10)=2^(3x+1)
now that we have a common base on both sides of the equation it must be the case that our exponents are equivalent.
2x+10=3x+1
10=x+1
9=x
