Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.3 ln x -
ln y
A. ln(x3y4)
B. ln
C. ln
D. ln(x3)
Answer: B
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Translate the equation into a sentence by using the phrase "varies directly" or "varies inversely". x = k
A. x varies inversely as the square root of t. B. x varies directly as the square of t. C. t varies directly as the square root of x. D. x varies directly as the square root of t.
Solve the inequality, and then express in interval notation.10x - 4 ? 9x + 3
A. x ? 7; [7, ?) B. x < 10; (-?, 10) C. x ? 7; (-?, 7] D. x > 10; (10, ?)
For the given functions f and g, find the requested composite function value.f(x) = 4x + 6, g(x) = 2x2 + 5;Find (g ? f)(3).
A. 78 B. 653 C. 1063 D. 98
Simplify the expression. Use positive exponents. Assume variables represent nonzero real numbers.(4p4s4)4(s2)
A. 4p16s18 B. 256p8s10 C. 256p8s32 D. 256p16s18