Question

4^log16 (7)



the base of the log is 16. 4 is being raised to the entire log16 (7).

show all steps please!

Answers

Reiny
4^log<sub>16</sub> 7
= (16^(1/2))^log<sub>16</sub> 7
= (16)^((1/2))^log<sub>16</sub> 7)
= 16^log<sub>16</sub> sqrt(7)

recall the property that
a^log<sub>a</sub> k = k

16^log<sub>16</sub> sqrt(7)
= sqrt(7)

or , using your calculator
4^log<sub>16</sub> 7
= 4^(log7/log16)
= 4^.70183873
= 2.645751309 and sqrt(7) = 2.645751311
not bad

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