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Please express in terms of sums and differences in logarithms. log a x^3 y^2 z For log_a (x^3) we can use the rule log_b (m^n) = nlog_b (x). The log_a (x^3) becomes 3xlog_a (x). =================================== We usethe same rule for y^2. y^2 becomes
Let y = f(x) y = (x + 3)/(2x - 5) Switch x and y. x = (y + 3)/(2y - 5) Multiply both sides by (2y - 5). 2xy - 5x = y + 3 Subtract 3 from both sides. 2xy - 5x - 3 = y Subtract 2xy from both sides. -5x - 3 = -2xy + y Factor the right side. -5x - 3 = y(-2x +
If you close at 3, then you are including 3, which will create division by zero in this case. The variable x cannot be 3 for this rational function. I'd say write it like this: (-infinity,3) U (3, infinity) The above interval notation is saying that x < 3
Replace x with 2 and simplify. h(2) = 3/(2*2 + 1) h(2) = 3/4 + 1 h(2) = 3/5
By the way, fractions are also a great part of standard music notation. You need to know fractions to read musical notes.

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