2 years ago

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

Mathematics

1 answer:

arsen [322]2 years ago

3 0

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

<em>using ln to lower the variable</em>, we get

ln10 = xln4

x = ln10/ln4

tadah!

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