Use the change-of-base formula to evaluate each logarithm correct to six decimal places.(a)log2(30) (b)log19(18)

(a) To evaluate log2(30) using the change-of-base formula, we can use the natural logarithm (ln) or the common logarithm (log). The change-of-base formula is logb(a) = logc(a) / logc(b). Here, we can use the natural logarithm to evaluate:

log2(30) = ln(30) / ln(2)

You can use a calculator to find the values of ln(30) and ln(2), and then divide the first by the second to get the result.

(b) Similarly, to evaluate log19(18), we can use the change-of-base formula:

log19(18) = ln(18) / ln(19)

Again, use a calculator to find the values of ln(18) and ln(19), and then divide the first by the second to get the result.

Remember to round your answers to six decimal places.