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

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• 1 Polynomials
• 2 Sets
• 3 Real Numbers
• 4 Mensuration
• 5 Statistics
• 6 Trigonometry
• 7 Quadratic Equations
• 8 Coordinate Geometry
• 9 Probability
• 10 Pair of Linear Equations in Two Variables
• 11 Similar Triangles
• 12 Progressions
• 13 Applications of Trigonometry
• 14 Tangents and Secants to a Circle