SOLUTION: Write the equation in its equivalent logarithmic form. root3:(64)=4

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Question 277168: Write the equation in its equivalent logarithmic form.
root3:(64)=4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Recall that the equation b%5Ex=y can be rewritten as log%28b%2C%28y%29%29=x


root%283%2C64%29=4 Start with the given expression.


%2864%29%5E%281%2F3%29%5E%22%22=4 Convert to exponential notation.


log%2864%2C%284%29%29=1%2F3 Use the property shown above to convert to logarithmic form.