Express using a single log            2Log a2 – Log b – 2 Log a2b + 2Log b

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: Use log „2 = 0.693 and/or log ,9 = 2.197 to find log ,

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Q: Solve for x: log,(6) + log,(x) = log,(12)+log,(x- 1)

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Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

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Q: x²z3 log (x+ 1)4

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Q: Use log, 4 2 1.262 and log3 10 - 2.096 to evaluate each logarithm. a. log3 40 2 b. log, 16 2 c. log3

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Q: Express the below expression as one single log. 3 + 0.5log, x + 0.5log,y - 3log ,z

A: Given,3+0.5log3x+0.5log3y-0.5log3z

Q: Express as a product. 9 log 10y - 9 log 10y

A: The given expression is  log10y-9

Q: Solve : log, (7 + x) = 2 log, 2 O x= 12 x = -3 O x = 13 O x = 3 O x = 11

A: Given Solve : log₂ (7+ x) = 2log₂2

Q: Pls help

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Q: solve the Fo llo wing 3) log,el- 2 logs 3 ↑) logiz 12- 2 log 2 2 5) .lo9221 - logz 7

A: This question is based on Logarithmic properties.

Q: Express this in a single logarithm 1/2+3log10x2

A: Given function is

Q: Calculate without using a calculator. log2 4/3 + log2 24

A: log2 4/3 + log2 24 We need to calculate the value given expression.

Q: he expression logx (ab) is equal to   1. logx (a+B0 2. (logxa) (LogxB) 3. log (ax+bx) 4. logx a…

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Q: Find x so that 4 log,x=log, 81-log, 128 +log, 4 7.

A: We have to find x

Q: Expand the following: a) log 3x2/ y4 b) log5 x5 (square root of y)/ z3

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Q: Expand using the properties of logarithms. 5x 3y log 6z

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Q: Express as a logarithm of a single number/expression A to C . a. logx20+logx2 b.3log3x-log3y…

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Q: Express as sums and differences:   log 2 6√a2 b4 c6

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Q: Expand the expression. If possibl youv answer without expenehts. log6 A3+x2

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Q: Express using a single logarithm  2loga2-logb-2loga2b+2logb

A: Given,

Q: Solve for c: log, (9z + 2) = log, (x + 4)

A: Given: log29x+2=log2x+4

Q: Write as a single log. Log_k(f)/Log_k(2)

A: Using logarithmic identities we can solve for single log  logcalogcb = logba

Q: The expression logx 2y is equivalent to O A. 2logx + logy B. 2logx – logy C. log2x + logy O D.…

A: The given logarithmic expression is: To simplify this logarithmic expression, apply the logarithmic…

Q: Evaluate: (a) log, 9 + log64 (b) In (c) 10log, (b³) – 4 log,(b)

A: (a) Evaluate the expression log69+log64 as follows. log69+log64=log6(9×4)…

Q: Solve for x: log, (1024) = 5 Add Work

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Q: The expression 2log3x+3log3y is equivalent to OA. log3 y3 x2 B. log32x+3y 2x l093 3V OD log3x2y3

A: Given

Q: Express using a single log            3Log ab2 – Log a2b – 4 Log a/b – 3Log b2

A: Use the power rule and quotient rule to simplify the  given expression.

Q: The single logarithm of the expression 5logr +14logy– 22logz is: - „14,22 O log=" 25 O log y14 O log…

A: The given logarithmic expression is 5log x+14log y-22log z. The following formulae are used in…

Q: Expand log3 (30x(3x+4)).

A: Solution-

Q: Expand the logarithmic expression log3(2xy z>). A) log32x + log3y3 + log3z> O B) log32 + log3x +…

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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: Expand the logarithimic expression.

A: To expand the logarithmic expression: log5x21-5x32x3-x Solution: Properties of logarithmic…

Q: Find the solution set of log3(2x+6)+log3(2x-2)=2

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Q: Expand the following expressions a.) log5xyz b.) log6(3x/y3z)2

A: Given : a.) log5xyz b.) log6(3x/y3z)2

Q: 2log, x-log, y+log, z

A: Follow the procedure given below.

Q: Expand each logarithm 10. log(ab) 11. log(a²c) 12. log () 13. log ) a 14. log ()

A: We use logarithmic properties for this Question

Q: express using a single log 2loga2 - logb - 2loga2b + 2logb

A: Using power rule and product rule for logarithmic expressions.

Q: Expand 10. log4 7x2

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Q: Which of the following is equivalent to log₂ (x²) − log₂ (2x¹) + log(x²)? Select one alternative: O…

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Q: Which of the following is equivalent to 2log3(b)+5log3(x)– log3(a)?

A: Given expression is 2log3b+5log3x-log3a Used log rules: 1. logxy=ylogx2. logx+logy=logxy3.…

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: 3. Write as a single log. log2 (36) + log2(x – 2) – 3 log2 (y +5)

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Q: Solve for x: log,(6) + log,(x) = log,(12)+log,(x – 1)

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Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Express th equation in exponential form.

A: To express the given equations in exponential form: a)log5(1125)=-3,b)log84=23 Solution: We know,…

Q: Rewrite in terms of simpler logs (expand): log. xz264 とマ y24

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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: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.