Simplify using the laws of logarithms, then evaluate. a) 3 log16 2 + 2 log16 8- log16 2 81 b) log3 6 + 2 log3 2

Q: 1. Combine log,(4x + 9) – log,(12x -7) into one logarithm. 2. Solve the equation log-(4x + 9) –…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

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Q: a Use the rules for logarithms and exponents to solve for [OH¯] in terms of pOH. [OH ] =

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Q: se the definition of logarithms to completely simplify e^in(2.3)

A: Explanation: Given that logarithm expression.

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Q: Express the ratios in Exercise as ratios of natural logarithms and simplify.

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Q: 4. Use the properties of logarithms to expand the expression as a sum, differences, and/or cons…

A: The given expression is logbx5b6y7z164 We expand the expression as sum , difference of logarithm…

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Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: The given logarthim expression,  ln xyz3

Q: 4.) 6 log, 41 – 7 log3 27 1 5.) log,+ log24 576 49 6.) log4 100 – log4 50 + log4 64 – log3 27

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Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: topic - logarithmic

Q: Use the properties of logarithms to rewrite the expression as the logarithm of a single quantity.…

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Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

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Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

Q: Use the Laws of Logarithms to expand the expression. .5 log2

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Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

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Q: Use the Laws of Logarithms to combine the expression. 3(log5(x) + 3 log5(y) − 5 log5(z))

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Q: | Use appropriate laws of logarithms to evaluate 3 log16 2 +2 log16 8 – log16 2.

A: Log properties

Q: 8.) log2(3)(37) 9.) log4(64)(37) + log3(343)(2) 2 10.) log10 0.02 + log4– log2 47 3

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Q: Use these formulas to express the numbers in Exercises  interms of natural logarithms.65. sech-1…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Use the Laws of Logarithms to expand the expression. log z2

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Q: Use the properties of logarithms to expand each expression in terms of simpler logarithms. Assume…

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Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

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Q: Use the Laws of Logarithms to expand the quantity.          ____In  √ab

A: We have to expand ln ab

Q: Given the function Ax) = logx determine the value of af'(23)- O 1023 23 2.3 230

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Q: Use the Laws of Logarithms to evaluate the expression. In(In ee200)

A: lnln ee200

Q: Use the Laws of Logarithms to evaluate the expression. log2(15) – log2(8) – log,(15)

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Q: log(x) is the exponent to which the base 10 must be raised to get ---Select--- v So we can complete…

A: See below

Q: Expand into a sum and/or difference of logarithms of r, s, and t, or as a single logarithm without…

A: Use the logarithmic identity; logax+logay=logaxy ; where x,y and a>0, and a≠1   The given…

Q: 8. Use the properties of logarithms to expand the expression. (Assume all variables are positive.)…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Use the Laws of Logarithms to expand the expression. log2 (AB2)

A: Given expression is log2 (AB2)

Q: Expand the logarithm fully using the properties of logs. Express the final answer in terms of log æ.…

A: Given that :-     f(x)=log3x4

Q: Express 273 = 3 in logarithmic form. log27 3 = 3 O log, 27 = 3 O log: 3 = 27 O log3 3 = 27

A: In this question we have to find the logarithmic form of the equation given by using the logarithmic…

Q: Use the Laws of logarithms to rewrite the expression ,17 log, x* . in a form with no logarithm of a…

A: topic- logarithmic equation log(ab)=log(a)+log(b) log(am)=mlog(a)

Q: Use the Laws of Logarithms to expand the expression.

A: The given expression is the logarithmic function that can be solved with the help of the logarithmic…

Q: Use properties of logarithms to expand the logarithmic expression logb(x3y/z2) as much as possible.…

A: Consider the following:Product Rule:logxy=logx+logyQuotient Rule:logxy=logx−logyLog of…

Q: Use the Laws of Logarithms to evaluate the expression log2(40) – log2(10) -

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Q: Use the Laws of Logarithms to expand the expression. ,9 log z4

A: Consider the given logarithmic expression logx4 y9z4

Q: Evaluate the expression log3(log2 1/8) without using a calculator. If evaluation is not possible,…

A: Evaluate the expression log3(log2 1/8) without using a calculator. If the evaluation is not…

Q: Use properties of logarithms to expand the logarithmic expression logb(x2y/z2) as much as possible.…

A: Given :           logbx2yz2

Q: Use the Laws of Logarithms to expand the expression. log2(7xy)

A: Use the laws of lograthim and expand.

Q: Use the definition (p. 75) and properties of logarithmic functions (Theorem 1, p. 77) to solve the…

A: We need to find value of x.

Q: Use properties of logarithms to expand the logarithmic expression logb(√xy3/z3) as much as possible.…

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Q: Use the Laws of Logarithms to expand the expression. In √ab

A: Given: The expression lnab. The given expression can be expanded as, lnab=lnab12…

Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Where…

A: We have to expand the logarithmic expression using properties of logarithms: lne48 We know that ln…

Q: log, 50.699 and log, 70.845. Use these values to evaluate log, 245. loga245 =

A: loga5 ≈ 0.699 loga7 ≈ 0.845 using the above given values to evaluate loga245

Q: 2) Use laws of logarithms to fully expand the expression. log9 x²+9.

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Q: Use the Laws of Logarithms to combine the expression. 5 In(2) + 2 In(x) -- In(x + 7) 2

A: Using laws of logarithm to simplify given expression.