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Solve the equation. 645% = 16X+ 3 . . . . . 6 X= 13 (Type an integer or a simplified fraction.)Find the derivative of the function. y = In (8x8 +7x) 5/3 y' . . . . .Determine whether the statement is true or false, and explain why. A logarithmic function is the inverse of an exponential function. Choose the correct answer below. 0 A. The statement is false. A logarithmic function is unrelated to an exponential function. 0 B. The statement is true. A logarithmic function is the inverse of an exponential function. 0 C. The statement is false. A logarithmic function is the inverse of a rational function. 0 D. The statement is false. A logarithmic function is the inverse of a polynomial function. Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each other. X+8 f(x) = 8x -6 and g(x) = 6 . . . a. f(g(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) b. g(f(x)) = (Simplify your answer. Use integers or fractions for any numbers in the expression.) C. Of and g are not inverses of each other. O f and g are inverses of each other.Find the derivative of the function. y= e 7x - 4 In (7x - 4) . . . . . dy dx (Type an exact answer in terms of e.)Chris Lynch plans to invest $500 into a money market account. Find the interest rate that is needed for the money to grow to $1,900 in 15 years if the interest is compounded quarterly. The rate is D%. (Round to the nearest percent.)