What is log(base 2) 32?

2 Answers

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baxthum8 | High School Teacher | (Level 3) Associate Educator

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To determine the value of `log_(2)32`

we use the meaning of logarithms:`log_(a)b = x rArr a^x = b`

Therefore we let `log_(2)32 = x`` `

We rewrite as `2^x = 32`

Next, we'll rewrite 32 as a power of 2.  32 = `2^5` ` `

`2^x = 2^5`

Therefore x = 5 as we have the same base