Write 4 log 4 + 2 log 5- log 15 as a single logarithm.
Answers
Answered by
2
Step-by-step explanation:
4log4+2log5−log15
⇒ log256+log25−log15
⇒ log(
15
256×25
)
⇒ log(
15
6400
)
⇒ log(
3
1280
)
∴4log4+2log5−log15=log(
3
1280
)
Answered by
0
- 4 log 4 = log 4⁴ = log 256
- 2 log 5 = log 5² = log 25
- log a + log b = log (ab)
- log a - log b = log (a/b)
log 256 + log 25 - log 15
log (256*25) = log 6400
log (6400/15)
= log ( 1280/3)
= log 426.66
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