4^x=65536 How to get x manually

Question

Daniella Nolan

Mathematics

2 February, 08:34

4^x=65536 How to get x manually

+3

Answers (2)

Know the Answer?

Tate Eaton · Answer 1

This is an exponential equation, you set each term to the same base (4)

Since 65536 is 4⁸

You write 4ˣ = 4⁸

Of course the exponents are equal so ...

x = 8

Schmidt · Answer 2

65536 is also 4^8

To solve:

4^x=4^8

The exponent values can be set equal now that they share the same base.

Answer: x=8