How to solve 2

Damon Stokes

Damon Stokes

Answered question

2022-07-01

How to solve 2 x = 36

Answer & Explanation

luisjoseblash2

luisjoseblash2

Beginner2022-07-02Added 16 answers

With a calculator, you can simply calculate:
x = log 2 36 = log 36 / log 2
Without a calculator, you know that x must be a little over 5, since 2 5 = 32. Now:
2 x = 2 x 5 2 5 = 36 2 x 5 = 36 / 32 = 1 + 1 / 8
Using the fact that for small log b ( 1 + x ) x / ln b
( x 5 ) = log 2 ( 1 + 1 / 8 ) 1 8 ln 2
x 5 + 1 8 ln 2 5 + 1 5.6

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