Question

Rewrite the logarithm as a ratio of common logarithms and natural logarithms.

log2.8(x)
(a) common logarithms
X
(b) natural logarithms
X

Answer 1

Step-by-step explanation:

To rewrite the logarithm log2.8(x) as a ratio of common logarithms (logarithms with base 10) and natural logarithms (logarithms with base e, where e is approximately 2.71828), you can use the change of base formula:

log2.8(x) = (log(x) / log(2.8)) [Using common logarithms]

OR

log2.8(x) = (ln(x) / ln(2.8)) [Using natural logarithms]

So, the expressions are:

(a) In terms of common logarithms: log2.8(x) = (log(x) / log(2.8))

(b) In terms of natural logarithms: log2.8(x) = (ln(x) / ln(2.8))