Write the expression as a single logarithm. 1 3 loga (7x®) - loga(5x+2) 1 3 loga (7x) 6 log a(5x + 2) = 1 (Simplify your answer.)
is this correct Write the expression as a single logarithm. 1 2 loga (6x) - log (2x+15) 14 36x 2 loga (6x?) - log a(2x+15)= loga 1 9 (2x + 15) (Simplify your answer.)
Express in terms of sums and differences of logarithms. x82 log 13 8 log x + log 2-3 log y 8 log x.log 2-3 logy log (8x + 2) - 3 log y (log x)8 + log z- (logy) 3 Express as a single logarithm and, if possible, simplify. logax +4 loga y - 2 loga x loga Vay4 loga y4 x3/2 loga x2y4 loga x4y4
Use the rules of logarithm to express the following as a single logarithm 2 In x+2 In y - 4 In z The expression of the single logarithm is
Write the expression as the logarithm of a single quantity. 1/2 ln x + 8 ln y − 9 ln z
Condense each expression to a single logarithm: 2 log 6 U -- 8 log 6 V
Rewrite the expression as a single logarithm ln A. ln(8)+ 2ln(x)+ 3ln(x^2+5) A=?
1) Prove that if loga x = y, then lo8b x = (loga x)(logb a). Plot loga n for 1 S ns 100 when a 2, e and 10.(10-points) 2) Prove that (b) Ση-112-n(n+ 1 )(2n+ 1 )/6 k+1) (1-x) if X Hint: Induction - Discrete Math (15-points) 3) Consider two balanced dices with each of the six faces marked 1 to 6. In one single throw of these two dice, list all the possible outcomes. Compute the average value...
4. Evaluate loga(-3), when loga(VT) = 0.2. 13 marks) 5. The function z is given as: z=f(x,y) = 2x2y - 5xy - y sin (xy) Show that a2z дхду az àyox (8 marks]
5. Express as a single logarithm Slog X 3