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03-11-2022
Mathematics

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using the change-of-base formula, which of the following is equivalent to the logarithmic expression below? log6 21

using the changeofbase formula which of the following is equivalent to the logarithmic expression below log6 21 class=

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MulkiP566471 MulkiP566471

03-11-2022

Given:

Log6 21.

We are asked to use change of base formula to determine form the options which is equivalent.

let's apply the base change formula:

For C:

Log10 10

Log10 21

Log10 10

Log10 6

Apply power law of logarithm to simplify the expression:

1

LOg10 21

1

Log10 6

ivide fraction by multiplying its reciprocal:

1 x Log10 6

Log10 21

Write as a single fraction:

Log10 6

Log10 21

Apply the base chande formula: log21 6

Check its equivalency: False.

Option A is False

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