4. Solve for x. Use a common base and exact values wherever possible. Show your work. Round decimal answers to 2 decimal places. a) 200 = 50 (2*) -3 = log, (2x) b)

Q: 2a) The population of a village was 40 at the beainning of 200. The doğ 2003.' AsSuming an)…

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Q: Given that logb √w = 7, and log x= -6, 1096 y = -9

A: Given query is to find value of indicated expression.

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Q: 14. Set up and solve an equation to evaluate log, ().

A: Given logg13=?we know thatlogabc=c logablogambh=hmlogab , logaa=1

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A: We have to simplify and solve the expression log59

Q: 9) Write each logarithmic equation in exponential form: b. In(125) =x b. 5= log , 243 d. lbg, 2= 3

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Q: 1) Solve for b. Express the result as a reduced fraction. 1 log, 4 3

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Q: Solve for k.

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Q: 22. Evaluate without using a calculator. log 0.00001 log, 729 1 64 a) b) c) log₂

A: The given problem is to evaluate and simplify the given logarithmic expressions.

Q: 16. Solve, rounding to three decimals where appropriate, logx-4(3x + 1) = 2

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Q: 9. Solve the following equations. Show your work. a) p=log, 1024 b) 6 = log,64

A: Let us solve the given logarithmic sums in the next steps.

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Q: Express as a product. - 9 log M

A: We know that                             loga xm = m × loga x

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A: Concept: Here we shall use the formula for change of base. logab=logcblogca Using the identity we…

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A: We have to expand the logarithm

Q: Solve for x, rounding to three places, if necessary: A. log, 27 = B. log, 2.9 = 3 C. e2x = 5

A: here we need to solve the logrithmic functions. the solution is following.

Q: The speed of light is 2.9979 × 108 m/sec. Approximate log (2.9979 × 108). log (2.9979 × 108) ~ 3

A: We need to approximate log2.9979×108.Log formula: logMN=logM+logN ; logxn=nlogx

Q: log₁ 6₂ = -4/09, 16 CASEDirect 800.423.1411 ww ●

A: The question provided is as follows :  log7(1/16)  which is of the form, logb m  By the property of…

Q: A. Solve for the value of x in each exponential equatian: 1. 25- - 625 2. 3- 25-3 = 48 3. 25 - 10-…

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Q: Evaluate x²7² dx

A: We will use u.v rule of integration.