SOLUTION: Use log sub b of 4 = 0.6021 and log sub b of 5 = 0.6990 to evaluate the given logarithm. Round to four decimal places. log sub 4 of b

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Question 688013: Use log sub b of 4 = 0.6021 and log sub b of 5 = 0.6990 to evaluate the given logarithm. Round to four decimal places.
log sub 4 of b

Answer by lwsshak3(11628) About Me  (Show Source):
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Use log sub b of 4 = 0.6021 and log sub b of 5 = 0.6990 to evaluate the given logarithm. Round to four decimal places.
log sub 4 of b
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logb(4)=.6021
b^.6021=4
raise both sides to 1/.6021≈1.661
b=4^1.661≈10
log4(b)
=log4(10)
=log(10)/log(4)
=1/.6020
=1.6611