Theme: Logarithm...
  • Solve \( 3w^{-\frac{2}{3}}+6=198\) for w.
  • Find the exact value solution of the equation: \( \log5x+\log(x-1)=2\)
  • The equation for decibels and sound intensiv is \(D = 10\log_{10}\frac{i}{i_0} \), where D is decibels, I is intensity, and \(i_0=10^{-12}\) (the intensity of the finetest sound that can be heard by the ear). Find the sound intensity of normal conversation that mesures 60 decibels. A. \(10^{-60}\) B. \(10^{-6}\) C. \(10^{60}\) D.\(10^{6}\)
  • Find the largest integer n for which n power 200 < 5 power 300?
  • log(√(10)) + log(0.01)explain how to solve without calculator please.
  • Write as a single logarithm 3-1/2(log6+log3-3log2)
  • Express the given quantity as a single logarithm and simplify: 3logx+2log(y-2)-5logx
  • Expand the following logarithm: log of the square root of xy divided by 1000
  • Use logarithmic differentiation to find dy/dx: y=((x^3)(2x+3)^1/2) / (x-2)^2
  • How long will it take a sample of radioactive substance to decay to half of its original amount, if it decays according to function A(t)=750e^ -119t, where t is the time in years? Round your answer to the nearest hundredth year. T equals time? I don’t see the time anywhere! Can someone me figure this mess out?
  • 0.2^x= 25 Solve to find x Show steps
  • solve -3log5x=-6?
  • 2) \( 3\cdot 9^x-5\cdot 6^x+2\cdot 4^x < 0\)\( log_{_{0.3}}(2x+3) \leq log_{_{0.3}}(x-1) \)
  • A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days: f(n)= 10(1.02)^n PART A) When the scientist concluded his study, the height of the plant was approximately 11.04 cm. What is a resonable domain to plot the growth function? PART B) What does the y-intercept of the graph of the function f(n) represent? PART C) What is the average rate of change of the function f(n) from n=1 to n= 5, and what does it represent?