In this set of problems, you will be a math detective! Some of the symbols and functions may not be familia to you, but with a little digging, reading, and observing, you'll be able to figure them out. Your task is to simplify each of the following expressions as much as possible, without using **the log button** on a calculator (either hardware or software). Do not approximate. Express all values as integers (not decimals) and all rational numbers as improper fractions. Your answer will not use the log function. log (271) 1. f(n) = 6561 4log (3) f(n) = symbolic expression 2. f(n) = log (10648) log (22) log (234256) log (22) f(n) = symbolic expression

Q: For the following identity, state the values of x for which the identity is true. log(x + 6) + log(x…

A: The given identity,logx+6+logx+5=logx2+11x+30

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

Q: Stovon solved the equation logfx-2)-1 on nis graphing calculator with the answer shown on the graph…

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Q: Find a number E such that log (5z + 1) = 2

A: The solution is given below.

Q: log3(x + 1) = –1

A: Please see the answer below

Q: a) log 81 1 b) logs 2 1 +3log, 2-log, 16² c) log 3/256

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Q: Write equations from the following below that can be used to create an animated design on desmos…

A: Given:The animated design must meet the following:It must have a minimum of 10 functions.It includes…

Q: Given that log 3 = a and log 2 = b, determine the value of log 15 in terms of a and b. Given that…

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Q: 1 (a) log3 81 (b) log, V49 (c) In e

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Q: Evaluate the following without using a calculator (show work!): 6. log1/3 81 7. log36 6

A: 6 Given expression is log1381. We have to evaluate the given expression. Apply log rule,…

Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Evaluate. log3 27

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

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Q: Solve the following. Show your work and steps. b. 3(4)**-2 = 192 log x = 1 C. log, (x+3)+ log, (x –…

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Q: Simplify log, (x+ 4) – log, (a- 5) O log, 9 O log, (2x - 1) z+ 4 log4 I- 5 log, (2-z- 20) 2--20)

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Q: Find the exact value for the following expression without a calculator log (64) logs (256) -…

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Q: Simplify the following into a single logarithm: 4 log(3) 3 log(x) O log (4:2) 3x log (4.3.x³) log…

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Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: log; 2x = log3 2 + 2 log; x %3D Select one: O True O False

A: The given statement is log3 2x2 = log3 2 + 2 log3 x