log x base 27+ log y base 9 = 7/2, log ×base 9 + log y base 27 = 2/3. find the value of xy
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Answered by
1
Answer:
=> 5/6 (or) 0.83
Step-by-step explanation:
log y base a = x implies y=a^x.
log 27 base 9 = x.
27=9^x.
3^3=3^2x.
3=2x bases are equal.
x=3/2.
log 9 base 27 = y.
9 = 27^y
3^2=3^3y
2=3y bases are equal
y = 2/3
log 27 base 9 - log 9 base 27
=> x - y
=> 3/2 - 2/3
=> 9-4/6
=> 5/6 (or) 0.83
please mark me as brainliest
Attachments:
Answered by
1
Answer:
=> 5/6 (or) 0.83
Step-by-step explanation: log y base a = x implies y=a^x.
log 27 base 9 = x.
27=9^x.
3^3=3^2x.
3=2x bases are equal.
x=3/2.
log 9 base 27 = y.
9=27^y9=27^y
3^2=3^3y
2=3y bases are equal
y = 2/3
log 27 base 9 - log 9 base 27
=> x - y
=> 3/2 - 2/3
=> 9-4/6
=> 5/6 (or) 0.83
please mark me as brainliest
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