Basic Math question and answers for February 03, 2024
- Q 2. Consider a five-node element in one dimension. The elementlength is 4, with node 1 at x? = 2, X?=3, x3 = 4, x4 = 5, x5 = 6.2-1) Construct...
- Q Logarithmic equations. Solve for xlog??(x+4)+log?(x-2)=1/2
- Q Solve the equation.log?2x + log?(x + 4) = 2x = -4x = 4x = 4 and x = -8x = -8
- Q Express as a single logarithm and simplify:1/3(log?25+ log?5)a)(1/3) log?30b)1/9log?(5)c) 1d) log?5
- Q All of the following are examples of logarithmic scales, except:a) The Richter Scaleb) The pH Scalec) The Radioactive Scaled) The Decibel Scale
- Q To three decimal places, the slope of the tangent to the curve f(x) = log??x, at x=1 is:a) 0.868b) 0.251c) 1.000d) 0.434
- Q Rewrite the equation log?? 100 = z in exponential form.a) 100 = 80 ? b) z =80??c) z??= 100d) 80 = 100?
- Q Use the one-to-one property of logarithms to solve the equation.log5(2n - 10n) = log5 (-24+n)
- Q Use the definition of a logarithm to solve the equation.-2 log7 x = 8
- Q Graph each logarithmic function. Find the domainand range.24. y = log5 (x - 1)25. y = 4 log x+5
- Q A quotient function. The two functions that you must divide are...Logarithmic Functions: y= 25 log9 (x+11)Exponential Function: y=60^xState the Domain, Range and vertical or horizontal Asymptotes. Justify your answer with...
- Q Solve the logarithmic equation.log 9(x+5)= log914Determine the equation to be solved after removing the logarithm.(Type an equation. Do not simplify.)Select the correct choice below and, if necessary, fill in the...
- Q Exercise 2.6. Determine the fractional Taylor expansions for the following cases:(a) f(x)= x, a = 0, and n = 2.8,(b) f(x) = sinx, a = 0, and n = 1.2.
- Q Condense the expression to the logarithm of a single quantity.1/2[9 In(x + 7) + In(x) - In(x? 5)]
- Q log (3 + x) - log (x-4)= log2(3/2){11}{-11)
- Q Solve the exponential equation.4 ^x + 4 = 5^ 2x + 5
- Q Evaluate the expression without using a calculator.log 3 27931/31
- Q Write in logarithmic form.1/9=3^-2The logarithmic form is.(Use integers or fractions for any numbers in the expression.)
- Q Evaluate the expression without using a calculator.log 3 729log 3 729 =
- Q Find the solution of the exponential equation 5e^x-4=12The exact solution (using natural logarithms) is: x =The approximate solution, rounded to 4 decimal places is: x =
- Q Estimate the instantaneous rate of change of f(x) = logx at x=1000.004320.0000870.00043
- Q Write the equation in equivalent logarithmic form.6=36^1/2What is the equivalent logarithmic form?
- Q Use the exponential decay model, A = Ao e^kt, to solve the following.The half-life of a certain substance is 19 years. How long will it take for a sample of...
- Q Solve the equation:log2 (3x-7)-log? (x+3)=1
- Q Solve log 4x + log 13 = 0. Round to the nearest thousandth if necessary.3.250.0190.31152
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