Simplify the following expressions. 6 log gx (a) 9 6 log gx O log x (b) 3 6 log 1x (e) 9 O log 19x (C) 9 (d) 81 log 1/9x (f) 81

Q: Simplify the expressions below. - In 10 (b) log - {x² - 9) (c) log 285x-3 (a) -

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Q: 6. log, xy z

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Simplify the following into a single logarithm: 4 log(5) – 2 log(x) 54 O log O log(4 · 5 - 2x) O…

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Q: express the following ratios as ratios of natural logarithms and simplify. A) log12 X/log13 X B)…

A: express the following ratios as ratios of natural logarithms and simplify

Q: If log b x = 0.32 and log b z = 0.85​, evaluate the following expression. logb sqr root x / cubed…

A: Given :logbx=0.32logbz=0.85

Q: Given log3 2 = m and log3 5 = n , express in terms of m and/or n.  a) log20 450

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Q: Simplify the following into a single logarithm: 4 log(4) – 2 log(x) O log (4 · 4 · x • 17 O log(4 ·…

A: We have to find the logarithms

Q: Simplify the following expression into a single logarithm: (5 +0)logx – (2 +0)log(3x) – log(12x*)

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Q: Simplify the following into a single logarithm: 2 log(6) + 2 log(x) 62 O log x2 () 2.6 O log 2x O…

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Q: Find x. (A) log x=2.9723 (B) log x= -1.8703 (C) In x = 2.8593 (D) Inx= -1.3709 (A) x = (Round to…

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Q: For the following equation, find x. 2 log bx= log9+ log125-log 15 (Type an integer or a simplified…

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Q: Combine the following into one single logarithm with a coefficient of 1 in front of the entire…

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Q: Simplify the following into a single logarithm: 5 log(5) + 1 log(x) O log(5 · 5 - læ) O log (5°x')…

A: Consider the given expression 5 log5+1 logx

Q: Evaluate the following using a method of your choice. ( JY a) log, 625 = b) log,2 + logʻ32 =

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Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: Simplify the following into a single logarithm: 4 log(3) - 1 log(z) 4 3 O log 1x O log (4 3 r) O…

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Q: Simplify the expression log(2x – 2) – log(x² – 1). State the restrictions on x. - -

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Q: Express the following expression as an equivalent expression that is a single logarithm. 2 logbx+7…

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Q: Find the domain of the function. f(x) = log5(8 - 2x)

A: Given function is fx=log58-2x. To find the domain of the function. Solution: Domain of a function is…

Q: If log „x= 0.32 and log „z = 0.83, evaluate the following expression. log b 3z

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Q: Find the domain of the logarithmic function f(x) = log5(x + 4).

A: Given:log5x+4

Q: Write the following in x + iy form : log(-(2)1/2 + i)

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Q: Simplify the following into a single logarithm: 3 log(7) + 1 log(æ) 73 O log O log (3 · 7 · æ') 3. 7…

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Q: For the following questions, solve for x. (a) 8e^5x-3-4 = 6 (b) logx (12-x) = 2

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Q: What is the domain and range of  g(x) = log(x-9) + 3

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Q: Simplify the following: log 2 x ³-log ₂ x 4 Select one: O a. log ₂x O b. 4 log2X O c. 2log ₂ x O d.…

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Q: What is h′(x) when h(x)=log 7 (8x+4 / x 6 7 x)?

A: Consider the function

Q: Simplify the following expressions into Single Log: I. 2 + logs (x*z2)– 3 log5(zx)?

A: To simplify- The above expression. Identity Used: 1.logm·n=logm+logn…

Q: Assume log x= 0.76 and log by=0.34. Evaluate the following expression. log b

A: To find:

Q: log3 (x + 1) = log, (x + 8) x =?

A: The graph is shown of below:

Q: What would be the value of x in log 2 (5x-2) = 3? %D O x = 1

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Q: Simplify the following into a single logarithm 4 log(3)+3log(2) 24 Olog O kog (4 -3-) O log(4-3-3e)…

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Q: Convert the following expressions between Logarithmic and Exponential Forms. (a) e −2t = 6x (b)…

A: detailed solution is given below

Q: Find the domain of the logarithmic function : f(x) = log5(x + 4)

A: Given expression, fx=log5x+4 The domain of fx=log5x+4 is given by gx>0 Then, the domain of f…

Q: Let f(x) = logb(3x^2 − 2). For what value of b is f'(1) = 3?

A: Explanation of the solution is given below...

Q: Simplify the following (show all steps): i. log2(x - 2) – log2(x + 2)² + log2(x² + 10x + 16) ii. 5x…

A: I The given expression is log2x-2-log2x-22+log2x2+10x+16. Simplify the expression as follows:…

Q: Consider the functions f(x) = 4*-2and g(x) = 34x. Solve f(x)=g(x). Express your solution in terms of…

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Q: Simplify the following into a single logarithm: log(3) – 2 log(x) log (3ª2²) O log (4 · 3 · 2?) 34…

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Q: Simplify the following into a single logarithm: 3 log(6) +2 log(z) O log (6°z*) 3-6 Olog 2x 63 log O…

A: 3log(6) + 2log(x)

Q: Covert to an exponential equation: logx = 15

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Q: logs x + log1

A: The given expression is log5x+log151x

Q: Differentiate: y = 6ª · log6 x (Hint: simplify your answer as much as possible. Use logy M = N, if…

A: Given: The function is  y=6x·log6x   To determine: The derivative of y=6x·log6x   Formula used: Log…

Q: Evaluate the following expressions without using b) log (0.1) 1. a calculator. a) log; (81)

A: The answer is found in step-2

Q: Express the following ratios as ratios of natural logarithms and simpity log a log 3X log 5x b. log…

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Q: . Simplify the following (a) log x² – log xy + 4 log y -

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Q: Simplify the following into a single logarithm: 3 log(2) + 1 log(x) =

A: Given that  3log(2)+1log(x)

Q: Express

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Q: Simplify. Enter the result as a single logarithm with a coefficient of 1. log; (2) – log; (5a®)

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Q: Express the following ratios as ratios of natural logarithms and simplify. log y a log 11 X log 5 x…

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Q: What is the 2log, 5+ log; 4 written as a single logarithm? (A) log; 40 (B) log; 29 (C) log; 100 (D)…

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