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Q: Find the conversions and solutions as indicated below. Number your solutions in the answer space as…

A: The given logarithmic equation is- 2log9y+22-log9z We can write mlogan=loganm &…

Q: Find the logarithm. log5 25 %3D

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Q: (1 point) If log, 2 = x and log, 3 = y, evaluate the following in terms of x and y: (a) log, 324 =…

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Q: It’s important for me to check that the proposed solution of an equation with logarithms gives only…

A: We know ,a logarithmic function of the form,logax is defined only when, Meaning that logarithmic…

Q: 6. A bacteria is known to double every 20 minutes. How long will it take 5mg of bacteria to grow to…

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Q: Solve by using logarithms. Write two solution sets, one with the exact value given in terms of…

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Q: Please solve the following equation: x=3^log3^19 (This one is hard to type in accurately without an…

A: Given logarithmic equation is,

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

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Q: The solution to log3(2x − 1) = 4 is: STEPS PLEASE

A: Properties of Logarithm: Given function is: Rewriting given function:

Q: The homework problem says to express as a single logarithm and, if possible, simplify, which i dont…

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Q: There are currently 4000 mice in a population that grows continuously and exponentially. 10 years…

A: The exponential function is given as, y = aebx, where a is the initial quantity and b is the rate of…

Q: 7=63 -4X %3D b,

A: we have to solve question for x

Q: Solve the equation. Write the solution set with the exact solutions. log3 (4t-15) = 1 +log (t-2)…

A: The equation is given byTo determine: The solution of the equation.Formula used:

Q: explain why log (5•2) is not equal to log 5• log 2

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Q: Solve the equation log, (In x) = 1 3D1

A: To solve the given equation.

Q: Use logarithms to find an exact solution to the equation below. e^0.09t = 29

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Q: t is known that log4x = k. Given this information, write the expression log4(64x^5) in terms of k

A: Given that log4x=k. The main objective is to calculate the value of the expression log464x5. The sum…

Q: Please solve and show every step. Do not skip a step so that I can fully understand how you solved…

A: To solve the equation log10​10000=x, we need to understand what the logarithm represents and solve…

Q: 7. If log (*) = (log x + logy), show that x² + y² = 11 xy SECTION 3: THINKING

A: Given,

Q: How many code words of all lengths can be made from the letters of LOGARITHM, repeated letters not…

A: Combination only includes number of ways of selection whereas, permutation includes number of ways…

Q: Since when can we take the natural logarithm of a negative number?

A: We have to tell when we can take the natural logarithm of a negative number

Q: Simplify without a Calculator log, (625)

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Q: I'm not understanding what exactly a logarithm represents. Also, what is a negative logarithm.…

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Q: Please solve this problem and show EVERY STEP. DO NOT skip a step as that is the only way I can…

A: To solve the equation log3​(2x−1)=2, follow these steps: Understand the logarithmic equation: The…