please show all steps used to solve for x. the answer is 0. Thanks

4(100^(2x+1) + 5 = 4005

=> 4(100^(2x+1) = 4005-5= 4000

=> 4(100^(2x+1) = 4(1000)

Eliminate 4 from both side of the equation, you will get

100^(2x+1) = 1000 or 100^(3/2) ( Remember 100^1/2 =10, 10^3=1000 )

Since both side of the equation has the same base of 100, now you can solve the power of the base directly.

Hence, we have 2x+1 = 3/2; by minus 1 from both sides we have 2x = 1/2, therefore, x = 1/4.

So Timothy T is correct!