Question

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

Answer 1

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