You are only allowed to use integer exponents. Use sqrt(...) to deal with fractional exponents. The final answer is written as a single logarithm 1/2log(x)−7log(y)−9log(z)=

Q: Given loga(m) = 10 and loga(n) = 20, find loga(mn2). (Enter an exact number.)

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Q: The loudness, L, in decibels(dB), is given by the formulaL= 10 · log where I, = 10- 12 W/m?. The…

A: Given, The loudness L in decibels is given by the formula, L=10·logII0 where, I0=10-12 W/m2 and,…

Q: 2x log 2x dr 1 (x²+6x+5)3/2 dr

A: As we know that; The Power Rule: ∫xndx=xn+1n+1+C   1). The given integral is: I=∫2xlog2xdx Apply the…

Q: if Log(z) is the principle value of the complex logarithmic function, what is the imaginary part…

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Q: Given g(x) = log3x, evaluate -2 A С 2 D. 112

A: Answer is option b) -2

Q: Solve for t using a logarithm with base a. 3a2 = 5 %3D t D |

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Q: Solve the given equation by hand.  log(x) = 4 what is x?

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Q: x*dx + y C x-) dy =0

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Q: Given y = log x, the base is understood to be Given y = In x, the base is understood to be

A: We know, the common  logarithmic has base 10 ,and is denoted as: log(x). And natural logarithm has…

Q: Solve for x, and show all the steps: logg x + log:(x – 12) = 2 %3D

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Q: State the domain and range of the function f(x) = log3(x + 4)

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Q: The domain for the LOG function does not include which of the following. O 0 negatives O 0 or…

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Q: Use the properties of logarithms to expand the quantity.  ln sqrt ab

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Q: Evaluate the expression without using a calculator. 1 log 8 8 log 8 8

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Q: Given: log8(5) = b. Express log4(10) in terms of b

A: To simplify the expression log4(10).

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: We have the definition of logarithm as follows: For x>0   and b>0, b not equal to 1 y= logbx…

Q: Complete the table of values. f(x) = log3 x f(x) 9. 1

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Q: In the exponential form f(x) = a. bx, the base b can be equal to 1. (A) True (B) False

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Q: Use the definition of the logarithmic function to find x. (Simplify your answer completely.) (a)…

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Q: In the function y = log, (x +3), what is z in terms of y? O = 2 -3 O = 2 +3 O =3-2 O = 2y+3

A: Explanation of the answer is as follows

Q: Find the domain of y = log(2 – 4x). The domain is:

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Q: Find the values b >1 for which the equatiom log, r = xmb has a unique solution.

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Q: State the domain and range of the function f(x) = log2(12 – 3x) - 3

A: given, f(x) = log2(12 – 3x) - 3 Let f(x)= y for domain and range log2(12 – 3x) - y =3

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: The logarithmic functions and exponential functions are inverse of each other. Let then its…

Q: use the following function to answer the following: y=log(−x−3)−2 what is the root/zero?

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Q: Evaluate the expression without using a calculator. 1 log 7 7

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Q: Evaluate the expression without using a calculator. loga 1/a

A: we have to evaluate the expression without using the calculator. loga1a

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: Find the domain of y = log(3 - 2x). The domain is:

A: The domain is a set of x-values where the function is defined. In other words, the domain is the…

Q: Find the domain of y = log(4 + læ). The domain is:

A: Domain of a function f(x) is the set of value of x for which f(x) is defined. For example, y= log(t)…

Q: . The change-of-base formula for base e is loga x = ________.

A: Suppose, lognm is an logarithmic expression. The rule to the change-of-base formula for base e is…

Q: x tan (x2) da =? 32+log3 * dr =?

A: Given, ∫0π4 xtanx2dx  ∫3x+log3x dx   We have to evaluate the integrals

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: Solve for z. log2(8) + log, (a) = 16 (Separate answers by a comma.)

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Equation in logarithmic form: log(q) = t Equation in exponential form =?

Q: Let f(x) = log,(8x6 – 7). For what value of b is f'(1) = 8? %3D b =

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Q: The final answer is written as a single logarithm.   7log(x)−8log(y)+2log(z)=

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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: For what values of x is the equation  logb x8 = 8 logb x  true?

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Q: Given that h(x) = log(x + 1) and f(x) = 2+ 10², find and simplify foh(æ)).

A: Composition of two function f(x) and g(x) is the process of making a new function h(x) such that the…

Q: Find the domain of y = log(6 +5x). The domain is:

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Q: Find log,o x: 10a /0.1 10

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: Given,         logr=n

Q: When you consider loga x to be a constant multiple of logb x, the constant multiplier is ________.

A: Given: If logax is constant multiple of logbx. To find the constant multiplier. Solution: Let the…

Q: Express the ratios in as ratios of natural logarithmsand simplify. loga b/logb a

A: Given: The expression logablogba To simplify: The given logarithmic expression after converting it…

Q: State the domain and range of the function g(x) = log5(2x + 9) – 2

A: