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Can u solve these problems ??
 
1.If x to the power 4 +  y to the power of 4 = 47x square y square . show that log ( x square + y square / 7 ) = logx + log y
2. If x square + y square = 27xy , show that log ( x-y/5) = 1/2 ( log x + log y )
3. If x square + y square = z square , show that log of  z - y to the base x + log of z+y to the base x = 2
4. If a to the power of x = b to the power of y = c to the power of c and y square = xz , prove that log of a to the base b= log of b to the base c 
5. Prove that 1/ log of xy to the base x + 1/ log of xy to the base y = 1
6. If a cube + b cube = c cube , show that log of c-b to the base a + log c square + cb + b square to the base a = 3 
7. If a to the power of 4 + b to the power of 4 = c to the power of 4 , prove that log of c-b to the base a + log of c+b to the base a +
log of c square + b square  to the base a = 4 
8. If log x-y = log x - log y , show that x= y square / y-1
9. If log x square + y square = log 2 + log x + log y , show that x = y

Asked by Sreehitha 15th June 2016, 9:17 PM
Answered by Expert
Answer:
Kindly space ask space only space one space question space at space straight a space time.
straight I space shall space answer space the space following space question.
If space log left parenthesis straight x to the power of 2 space end exponent plus space straight y to the power of 2 space end exponent right parenthesis equals space log space 2 space plus space log space straight x space plus space log space straight y space comma space show space that space straight x space equals space straight y.

Proof colon
log left parenthesis straight x to the power of 2 space end exponent plus space straight y to the power of 2 space end exponent right parenthesis equals log space 2 plus space log space straight x space plus space log space straight y space space
rightwards double arrow log left parenthesis straight x to the power of 2 space end exponent plus space straight y to the power of 2 space end exponent right parenthesis equals log 2 xy
rightwards double arrow straight x to the power of 2 space end exponent plus space straight y to the power of 2 space end exponent equals 2 xy
rightwards double arrow left parenthesis straight x minus straight y right parenthesis squared equals 0
rightwards double arrow straight x minus straight y equals 0
rightwards double arrow straight x equals straight y
Answered by Expert 17th June 2016, 2:27 PM
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