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rewona [7]
3 years ago
10

Use the Change of Base Formula to evaluate log3 48. Then convert log3 48 to a logarithm in base 5. Round to the nearest thousand

th. 3.524; log5 290.385 3.524; log5 80 3.871; log5 290.385 1.681; log5 80Use the Change of Base Formula to evaluate log3 48. Then convert log3 48 to a logarithm in base 5. Round to the nearest thousandth. 3.524; log5 290.385 3.524; log5 80 3.871; log5 290.385 1.681; log5 80
Mathematics
1 answer:
Romashka [77]3 years ago
5 0

Answer:

Log 48 base 3 on changing base is3.524 and log X base 5 on solving is290.385

Step-by-step explanation:

Given log48 base 3

To change the base to natural logarithm for easy simplification

Log M base n is equal to log M /log n

Hence log3 48= log48/log 3= 1.6821/0.4771= 3.524

Changing to base 5

Log X base 5 is 3.524

log5 X=3.524

Recall that loga b=x

a^x=b

So

5^3.524=290.385 =X

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The picture in the attached figure

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