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Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of 1 111 (121k) Enclose arguments of functions in parentheses and include a multiplication Sign between terms. For example, 6 * 111(k). 1 1 )2 11(1213'3 E logs. Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference: or product of logs. Show your work and explain, in your own words, how you arrived at your answer. -~ -~ cl] :5 [El [- i Q 3: 5% Q 2:33?\" i' A' L B I Q '5' Xe Xe Styles v Font v Size v 00 \"II Condense the expression to a single logarithm using the properties of logarithms. log (as) log (y) + slog (z) Enclose arguments of functions in parentheses and include a multiplication Sign between terms. For example, c * log (h). log(:1:) 5 log (y) + 610g (2) = Use properties of logarithms to evaluate without using a calculator. log4 (64) 8log4 (2) + 3log4 (4) log4 (64) 8 log4 (2) + = Number 3log4 (4)Use like bases to solve the exponential equation. 3n . 8 = 26 64 Enter the exact answer. n = NumberUse logarithms to solve. e233 e3 72 = 0 Enter the exact answer (i.e. keep your answer in exponential or logarithmic form, you do not need to calculate its numeric value). Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example. e * 111(k). Hints: 0 Remember by the rule of exponents, that e2 33 2 (e35)2 so that you can try to factor this as (e33 + something) (ex + something else) where the 1'something\" and "something else\" can be positive or negative numbers. 2 o Alternately, you could let 3; = e37 and this equation would be 3; y 72 = 0 and you can solve rst for y and then for :13. Solve for the indicated value, and graph the situation showing the solution point. The formula for measuring sound intensity in decibels D is defined by the equation D : llog (i) using the In common (base 10) logarithm where I is the intensity of the sound in watts per square meter and I0 = 1012 is the lowest level of sound that the average person can hear. How many decibels are emitted from a jet plane with a sound intensity of 8.8 - 102 watts per square meter? Round your answer to three decimal places. The jet plane emits decibels at 8.8 - 102 watts per square meter. Select the correct graph of the situation showing the solution point. 200 150 100 so \f\fUse the one-toone property of logarithms to solve. 111(322 5) +111(9] 2111(4) Enter the exact answers. The field below accepts a list of numbers or formulas separated by semicolons (eg. 2; 4; 6 or a: + 1; a: 1). Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e_0-21$9 where :1: is the number of miles above sea level. To the nearest foot, how high is the peak of a mountain with an atmospheric pressure of 8.743 pounds per square inch? (Hint: there are 5,280 feet in a mile} The mountain is :: _ - feet high. 11 Show your work and explain, in your own words, how you arrived at your answer. C. 3: t? [F ['u' 0. 3: :: ~| E E Q SEE?\" A' I' 1; B I Q 5 Kg x! Styles v Font v Size v A tumor is injected with 0.6 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an exponential model representing the amount of Iodine-125 remaining in the tumor after t days. Then use the formula to find the amount of Iodine-125 that would remain in the tumor after 60 days. Enter the exact answer. Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example, (2 * exp (h) or c * 111(k). t2? 0 5 sin {a} . f :x. (.1 [2 dz Round to the nearest tenth of a gram. There will be grams of Iodine-125 after 60 days. L EU (base 10] logarithm. This is called the Moment Magnitude Scale (MMS), an alternative to the more well known Richter Scale. One earthquake has magnitude 3.9 on the MMS. If a second earthquake has 700 times as much energy as the first, nd the magnitude of the second quake. A formula for calculating the magnitude of an earthquake is M = glog ( ) that uses the common Round to the nearest hundredth The magnitude of the second earthquake was 600 1+49e 0-715 after t days. As t increases without bound, what value does N (t) approach? Interpret your answer. The equation N (t) = models the number of people in a town who have heard a rumor How many people started the rumor? N (t) approaches N (t) is limited by the number of poeple who started the rumor. N (t) is limited by the carrying capacity of the town. N (t) is limited by the number of days it takes for the entire population to hear the rumor. N (t) is limited by the rate at which the rumor spreads. N (t) is not limited by any value and increases without bound