In Problems 26–28, write each expression as a single logarithm. in() + in) - in(c² 1) 1 26. 3 log, x² + log, Vĩ 27. In + In 28. 극In(12 + 1)-4 m-(Im(x - 4) + In x]

Q: (b) If 2log 5+log 4 = 2, find a.

A: The given equation is: 2loga5+loga4=2   As we know the logarithmic properties; 1). logaxb=a·logab…

Q: In Problems 19–21, evaluate each expression. Do not use a calculator. 19. log: 20. Ine 21. 2log20.4

A: expressions are given , we have to find its value without use of calculator

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: a) Use the Laws of logarithms to rewrite the expression log in a form with no logarithm of a…

A: Use laws of logarithms to rewrite the given expressions in expanded form and single log.

Q: b Log 40/9 + 2 (2Log 5 + Log 6) = 5

A: Logarithm value

Q: 2. Solve for x. a. log, 81 = 4 b. logs x = 3 C. logs 125 = x d. log, 10 = 4

A: Using logrithim  properties

Q: 26. What is b if (log₁x) b = 1 -? 3x

A:

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: 9. Simplify. State any restrictions on variables. log (x²-x-6) - log (2x-6) [K-3]

A:

Q: If log,, 2,log,o (2" – 1) and log,o (2* + 3) are in A.P then find thę yalue of x.

A: Topic = Sequence

Q: Rewrite the following in terms of a single logarithm: - log(x+2) - 3 log(x) − 5 log(x² + 1)

A: We are required to write the given expression  log(x+2)-3logx-5log(x2+1) in terms of a single…

Q: 8. Write as a single logarithm with and simplify if possible a. log, 5+log,4– log, 20 b) In50–In5

A:

Q: 9. Solve. log,(x- 3)+ log,(x+ 4) = 3

A: The objective is to solve.

Q: 1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)–…

A:

Q: -Region shared between the circles (r=2cos0) and (r=2Sino) season

A:

Q: 5. State the numeric value of the following -5 log, x log, (r-x) log,

A:

Q: 8. a. Find x if log2x = -2 = -2 b. Find b if log,81 = 4

A: 8. We need to solve the following equations (a) log2x =-2 (b) logb81 = 4

Q: Express In(7) - In(2) + In(3) as the logarithm of a single value.

A:

Q: 19) Write as the logarithm of a single quantity: log, 16- 21log, 5 + log, 7 (a) (b) logs1s (c) 1 (d)…

A: Let y is the equivalent to given log expression.

Q: Express as a single logarithm 15. 2log(b) + 3 log(c) 16. 2log(a) – 4 log(b) 17. log(a) + 2 log(c)

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 6x - 109,24=0 8,

A: