silvivi silvivi
  • 24-02-2020
  • Mathematics
contestada

If l0^x=2 and 5^y = 3
express log 6 in terms of xy​

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Eduard22sly
Eduard22sly Eduard22sly
  • 24-02-2020

Answer:

Log 6 = xlog10 + ylog5

Step-by-step explanation:

From the question given, we obtained the following information:

l0^x=2

5^y = 3

Log 6 = Log(2 x 3) = log 2 + log 3

Substituting l0^x in place of 2 and 5^y in place of 3, we obtained

log 2 + log 3

Log l0^x + log 5^y

xlog10 + ylog5

Therefore,

Log 6 = xlog10 + ylog5

Answer Link
amna04352
amna04352 amna04352
  • 24-02-2020

Answer:

x + ylog(5)

Step-by-step explanation:

10^x = 2

log(10^x) = log(2)

x log(10) = log 2

x = log(2)

5^y = 3

log(5^y) = log(3)

ylog(5) = log(3)

log(6) = log(2) + log(3)

log(6) = x + ylog(5)

Answer Link

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