SOLUTION: The variables x and y satisfy the relation 3^y=4^x+2. (i)By taking logarithms, show that the graph of y against x is a straight line. Find the exact value of the gradient of this

Question 865539: The variables x and y satisfy the relation 3^y=4^x+2.
(i)By taking logarithms, show that the graph of y against x is a straight line. Find the exact value of the gradient of this line.
(ii) Calculate the x-coordinate of the point of intersection of this line with the line y=2x, giving your answer correct to 2 decimal places.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
3^y=4^x+2 is not a straight line.

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