Math, asked by ru4848, 9 months ago

Write 4 log 4 + 2 log 5- log 15 as a single logarithm.​

Answers

Answered by ishmeetkaurarora24
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 Anonymous
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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