Question

Use 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 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

Answer 1

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

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