Question

Solve the exponential equation: 2^10 = 4^2^x

Answer 1

Answer:

x = ln10/ln4

Step-by-step explanation:

2^10 = 4^2^x

Now, rewrite 4 with 2 as the base.

2^10 = 2^4^x

Now with rules of exponential equality, we can equal the powers on the left to the powers on the right as they both have the same base.

10 = 4^x

using ln to lower the variable, we get

ln10 = xln4

x = ln10/ln4

tadah!