QUESTION IMAGE
Question
vid0029
morgan trevathan
open-ended question
what did you get when you typed this in your calculator?
type your answer here
rewatch
Step1: Identify the expression
From the image, the expression seems to be $\log_{2} 32$ (since there's a handwritten note like $\log_{2}32 = x$).
Step2: Recall logarithm property
We know that $\log_{a} a^{b}=b$. Since $32 = 2^{5}$, so $\log_{2} 2^{5}=5$. Alternatively, using a calculator: for a TI - 84 Plus CE, to calculate $\log_{2}32$, we can use the change of base formula $\log_{2}32=\frac{\log(32)}{\log(2)}$ (or $\frac{\ln(32)}{\ln(2)}$). $\log(32)\approx1.5051$, $\log(2)\approx0.3010$, and $\frac{1.5051}{0.3010} = 5$.
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