Approximate the logarithm using the properties of logarithms, given the values logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. Round your result to four decimal places.

logb 16/25

Question

Mathematics

Mason Robinson

21 September, 13:14

Approximate the logarithm using the properties of logarithms, given the values logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. Round your result to four decimal places.

logb 16/25

+3

Answers (1)

Know the Answer?

Kayley Roy · Answer 1

Ok so here are the proceudures:

for the first one: logb18 = logb 2x3x3

logb 2x3x3 = logb2 + logb3 + logb3

logb18 =.3562 + 2 x. 5646

logb18 = 1.4854

For the second one:

logb6 = logb6 + logbB

logb6b = logb2+logb3+logbB

logb6b =.3562 +.5646 + 1

logb6b = 1.9208

And finally for the third one:

Log b 5/2 = logb5 - logb2

Logb 5/2 =.8271 -.3562

Log b 5/2 =.4709

I hope this is what you are looking for

Approximate the logarithm using the properties of logarithms, given the values logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. Round your result to four decimal places.logb 16/25

Approximate the logarithm using the properties of logarithms, given the values logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. Round your result to four decimal places.

logb 16/25