4^x=65536 How to get x manually

Question

Mathematics

Gator

3 February, 22:52

4^x=65536 How to get x manually

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Answers (2)

Know the Answer?

Lilyana Juarez · Answer 1

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

Karlee Valencia · Answer 2

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