Solve the equation 2 to the power 2 x - 1 = 16 to the power -2x

x = 1/10

Step-by-step explanation:

To solve the equation, make each base the same. 16 is a multiple 2. The base 16 actually is equivalent to . Substitute this base and exponent into the equation for 16.

Now, since each expression is equal and the bases are the same, the exponents must also be equal. Set the exponents equal and solve for x.

2x - 1 = -8x

-1 = -10x

1/10 = x