Rewrite the following expression as a single logarithm. Keep rational exponents in your answer. log a – 6 log(sin 8x) + 2 =

Q: Simplify the following into a single logarithm:2log(5)−1log(x)

A:

Q: Determine the numerical value of the following expression without the use of a calculator: + log2…

A:

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: Condense the expression to a single logarithm using the properties of logarithms. log (x) - log (y)…

A:

Q: a. log AB В b. loga A 2.3 c. logA´B°C

A:

Q: log10 (1000100) 100 + 100 ANT sin(n) + (-1) n 1000 II 1 cos(™M)²

A: Given expression as log101000100100+∑n=1100sinπn+1-1n·∏m=110001cosπm2

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

A:

Q: Use properties of logarithms to simplify the following expression into a single logarithm: 2log(x) –…

A:

Q: If log x=0.33 and log z=0.83, evaluate the following expression. √√x 3√2 log b

A:

Q: What value of x will make the following equation true? log (2x+6) =1 -5 O x = 2. O x= 8

A:

Q: Determine the numerical value of the following expression without the use of a calculator: + log,…

A:

Q: Use the properties of the natural logarithms to simplify the following expressions sin 0 a) In sin e…

A:

Q: following

A:

Q: use the laws of logarithms to expand the expression log_4(5xy)

A: Solution is given below:

Q: Condense the following logarithms using the properties. 10) log(x)+log(y)-2 log(y) 11) 2 log(2)

A:

Q: Given that log(3) - 0.4771 and log(2) - 0.3010, find the value of the logarithm. 3. log

A: log 3 =0.4771 log 2 =0.3010 logmn= log m - log n

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Use the change-of-base formula to find the logarithm to four decima log1/8 9

A: The given logarithm is log1/89.

Q: Write down the formula of the change of base theorem and briefly state what it is used for.   3b)…

A: The change of base theorem:

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

A:

Q: Condense the expression to a single logarithm using the properties of logarithms. log (x) – log (y)…

A: Given,            logx-12logy+7logz

Q: Write the following expression in terms of natural logarithms. log 4(2x+ 1) Choose the correct…

A: Question is based on Logarithmic change of base rule.

Q: Write the expression as one logarithm . SNIPP

A: Consider the given: 2lnx−4ln1y−3lnxyApply log rule:…

Q: 1. Use the definition of the logarithmic function to find x in the following equations: a) log, 25 =…

A: NOTE:- As Posted multiple independent questions,we are answering only first question as per bartleby…

Q: Use the properties of the natural logarithms to simplify the following expressions: (sin 0 a) In sin…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Evaluate the expression without using a calculator: log(ln e)

A: Consider the provided expression, log10lne Evaluate the expression without using a calculator.

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

A: To find:

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

A: detailed solution is given below

Q: Solve the following for xx. Give an exact answer using the log function. 13⋅(8^3x−9)=65

A:

Q: Write the following as the sum and/or difference of logarithms. Assume all variables are positive.…

A: Given : loga8b63

Q: Write the following expression as a single logarithm: 1 In(x+2) – 4[In(5 – x) + In(9 – x²)] 3 |

A: Let's find.

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

A: topic - logarithmic operations logab=log a-log blog am=mlog a

Q: Solve the following logarithm problem for the positive solution for x. 1 log, = -2 %3D 49

A: x=?

Q: Which of the following logarithmic expressions have been evaluated correctly, to the nearest…

A:

Q: Which of the following logarithmic expressions have been evaluated correctly, to the nearest…

A: Properties of logariths:-1. log(a)b=b log (a)2. log(a,b)=log (a)+log (b)3. logb(a)=log (a)log (b)

Q: Solve the following equation. [Hint: Change log 4x to base 2.] log2 (x+4) - log 4x=2

A: To solve the equation.

Q: 2(log 2x - log y) – (log 3+ 2 log 5)

A: We have to write the following expression as a single logarithm.…

Q: Simplify the following into a single logarithm:2log(8) + 2log(x)

A:

Q: Write the following expression as a logarithm of a single quantity, and simplify when 3 4 possible:…

A:

Q: Express the following in the form :+ ib. (a) log(e³-i) (b) (1 – i)3+i

A:

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 as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

A:

Q: Rewrite the following in logarithmic form. 15° O log15 1 = 0 O log, 15 = 0 O log1, 0 = 1 cannot be…

A: Option A is correct option.

Q: Expand the following using the properties of logarithms and simplify. Assume when necessary that all…

A: Given logarithm is:As per the properties of logarithms,Using the above properties and then…

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 log,o x: 10a /0.1 10

A:

Q: Evaluate the base (3-4i) logarithm of 10e^2.05i. Express your answer in a rectangular form in 4…

A:

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

A: Given that  3log(2)+1log(x)

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

A: