Solve the following equations using logs: A) 4(1.2)^x=19 B) 63(0.8)^x/2 =40  c) log3 (log2 (x +5))=1

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A:

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A: Question- Two capacitors with capacitance of 6 μF and   4 μF are connected in series across a 100 V…

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Q: Without using calculator, solve coth−1 x = ln (x + 1).

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 3 years

A: The formula used: A=Pert

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A: Given:       95log3x=-10

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Q: 7. Use linear approximation to approximate the value of log(99) without the need for a calculator.…

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Q: best

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Q: Find a formula for the exponential function passing through the points (-2, - -) and (1,20) 16

A: -2,516 and 1,20 Let the exponential function be yn=abxn. Substitute both the point in the assumed…

Q: 2. Express in terms of sums and differences of logarithms In 2 3x³y (In 2 divided by 3x³y)

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for each period.2…

A: Given: P=12,104  dollarsr=0.062t=2  years

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Q: Find the compound amount if $12,104 is invested at 6.2% compounded continuously for period 4 years.

A: Given : Invest amount ( P ) = $ 12,104 . Interest rate ( r) = 6.2 %  Period ( t) = 4 years

Q: If a Paramecium is about 390 micrometers long, how many centimeters is it? Express in real numbers…

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 3.9 grams of carbon-14 to be…

A: h=5730 years. x=final amount=1.7 grams. y=initial amount=3.9 grams. t=h(ln(x/y))/ln(1/2)…

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A: Given half life = 18.4 days

Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

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Q: Solve 3 log 80 - ln 5log 5

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Q: A quantity with an initial value of 2000 grows exponentially at a rate of o.35% every 2 days. What…

A: Given, A quantity with initial value of 2000 grows exponentially at a rate of 0.35 % every 2 days We…

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

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Q: A freshly inoculated bacterial culture of Streptococcus contains 100 cells. When the culture is…

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Q: The half-life of carbon-14 is 5600 years. If a piece of charcoal made from the wood of a tree shows…

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Q: Give 5 example of integrals yielding natural log functions with solution

A: The integral examples are:

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A: A= P ert

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Q: The half-life of carbon-14 is 5730 years. How long does it take for 2.1 grams of carbon-14 to be…

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Q: After 25 years, your savings account has now grown to $16,200 and has an interest of 6.1% that…

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Q: $3,500 is invested at a rate of 6% coumpounded weekly. What is the amount at the end of 15 years?

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Q: A rectangular beam will be cut from a cylindrical log of radius 10 inches. Suppose that the strength…

A: Solve the given problem

Q: Find the time it takes for $5,800 to double when invested at an annual interest rate of 5%,…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…