Logarithms math problems - Assignment Example

Problems on Logarithms Please answer logarithmic Notation math problems Write the equations in logarithmic form. (Enter the logarithm function in the form log a(b).) 5 = log 3 243 13 = log 10 10002p = log m n2: Use the definition of logarithm to simplify each expression. 1 2 3 3: Solve the exponential equation. Give the exact value for x. (Express all logarithmic functions in terms of ln(x) in your answer.) x = ln (10)1x = ln (1.6)2x = ln (36.8)4: Evaluate the given expressions (to two decimal places).

1 2 3 5: Write the expression in terms of common logarithms, and then give a calculator approximation (correct to four decimal places).= 1 6: Do the following. (a) Write the expression in terms of natural logarithms. (Express all logarithmic functions in terms of ln(x) in your answer.) - x ln (8.7) = ln (130)1 (b) Give a calculator approximation (correct to four decimal places).2 7: Find a simplified value for x by inspection. Do not use a calculator. (a) log5(25) = xx = 1 (b) log2(64) = xx = 2 8: Contract the expressions.

That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1. 1ln (3/2)2- ln (48)3 ln (3/1024)9: Solve the equations by finding the exact solution. (a) x = 41(b) x = 10,000210: Solve the equations by finding the exact solution. (a) x = 21(b) x = √2 / e2211: Solve the equations by finding the exact solution. x = 2e612: The "learning curve" describes the rate at which a person learns certain tasks. If a person sets a goal of typing N words per minute (wpm), the length of time t (in days) to achieve this goal is given by the following formula. (a) According to this formula, what is the maximum number of words per minute?1 (b) Solve for N.

N = 213: Find the number of decibels for the power of the sound. Round to the nearest decibel. A rock concert, 5.24 10-6 watts/cm2 D = 1 dB14: A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of 5.5 102 µm. Find this earthquakes magnitude on the Richter scale. (Round your answer to the nearest tenth.) M = 1 15: The half-life of 234U, uranium-234, is 2.52 105 yr. If 98% of the uranium in the original sample is present, what length of time (to the nearest thousand years) has elapsed?

1 yr16: An artifact was found and tested for its carbon-14 content. If 71% of the original carbon-14 was still present, what is its probable age (to the nearest 100 years)? Use that carbon-14 has a half-life of 5,730 years. 1 yr17: The atmospheric pressure P in pounds per square inch (psi) is given by the formula below, where a is the altitude above sea level (in miles). If a city has an atmospheric pressure of 13.25 psi, what is its altitude? (Recall that 1 mi = 5,280 ft. Round your answer to the nearest foot.) 1 ft133