Solve the following logarithmic inequalities. 1. log5x < 2 2. log4x > 2 3. log273 > x 4. log2(5x + 7) > 5 5. log5(4x + 11)< 3

Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

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Q: What is the domain of f(x) = log, (x + 3)?

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Q: 11. log( 2x + 9) + log( x + 3) = log( x² +1) Solve.

A: Logarithm is the inverse function to exponentiation. Logarithm of a number is the a quantity…

Q: Q3 Identify the restrictions on x and solve for x. log,(6-x) = 2 0 < x < 6, x = 4 0 < x < 2, x=2

A: Identify the restrictions on x and solve for x  logx6-x=2

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A: We need to find S(33). S(33)=325+500log(100)

Q: h(x) = log3(x − 3) + 2 what is the x-intercept

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Q: 3. Explain in a complete sentence why logą 20 is between 2 and 3.

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Q: Differentiate. y= log(5x + 1) 6 (6x+1)In(5) 5 (5x+1)In(6) 6 (5x+1)In(6) o loge(5x+1)

A: Solve the problem

Q: Isolate x in the following equation: log5 x + log3 x = 4

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Q: 9. Solve log x+ log(x - 21) = 2 %3D

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Q: 6log3(t + 4) = 36 %3D log3(t + 4) = %3D t = II

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Q: 4. Solve for x log (35-x³) log (5-x) = 3

A: Given log35-x3log5-x = 3

Q: Identify the domain of the following functions: (a) f(x) = log (-7x-5) Domain: b) f(x) = In (2x-4)…

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Q: 1.) 102913 (3x-1) 21 2.) log₁₁ (3x-24) = log₁ (-5x-8) x2 3.) log ≤ x² + log ² x~2 ≤0

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Q: Once activated, a population of self-replicating nano-bots is known to triple every four hours.…

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