Question

Given that 4 to the c
=
16 to the x+1, work out the value of x.

Answer 1

To solve for x in the equation 4^c = 16^(x+1), we equate the exponents and solve for x by rearranging the equation.

To solve for x in the equation 4c = 16x+1, we need to rewrite the equation using the same base. Since 16 can be written as 4 raised to the power of 2, we have:

4c = 42(x+1)

Using the rule of exponents where ab = ac if b = c, we can equate the exponents and solve for x:

c = 2(x+1)

c = 2x + 2

Now, we can solve for x by subtracting 2 from both sides:

c - 2 = 2x

x = (c - 2) / 2