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

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

anonymous · Answer

log(16/25) = log(16) - log(25)
= log(2^4) - log(5^2)
= 4 log(2) - 2 log(5)

you're the value of log(2) and log(5). Plug and chug

jdoe0001 · Answer

$\large log_b\left(\frac{16}{25}\right)?\quad or\quad log_{16}(25)?$

anonymous · Answer

the first one

jdoe0001 · Answer

hmm

jdoe0001 · Answer

well... do we know what "b" is... is we're meant to get "b"  as well as its logarithm?

anonymous · Answer

not sure, all i know is that the answer is a decimal

jdoe0001 · Answer

did you try entering that in your calculator?    does that show the same as the answer ?

anonymous · Answer

calculator is broken...

jdoe0001 · Answer

https://www.desmos.com/calculator <---