If l0^x=2 and 5^y = 3

express log 6 in terms of xy

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)

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