Question 2.53: Use logs to find ^8√ 226.34....
Use logs to find \sqrt[8]{226.34} .
Step-by-Step
Log 226.34 must be divided by 8 to find the log of the number which when multiplied by itself 8 times gives 226.34, i.e. the eighth root. Thus
log 226.34 = 2.3547613
\frac{1}{8} log 226.34 = 0.2943452
Therefore \sqrt[8]{(226.34)} = 10^{0.2943452} = 1.9694509 .
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