Combine into a single logarithm log3 - 4 log; y + 2 logą z − 2 O 10g3 O log3 2yª O 10%3 gyt 2½ O 1083 2yª 94 2√x

Q: Expand: Log6(6√5/√6)   condense: Log3-Log4-Log7

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Q: Solve for x. Give your answer as an integer or reduced fraction. log, (æ*) + log; (Va) = 10

A: First, we write using exponents and then the exponents become coefficients.

Q: Express x in term of y if: log,xy =2 +2log,x -3log,y

A: Given that:  log4xy=2+2log4x-3log4y We have to express x in the form of y.

Q: Condense 1 logs (bº) + 7' + Glog3(b – 6) – 5 log3(b + 7) = -

A: Consider  log3b6+14log3b−6−5log3b+7

Q: The logarithmic form of: V2x = 4 is %3D اختراحد الخيارات A log2x .B = log2x 4 %3D .C log4 = 2x .D =…

A: We have to convert it into logarithmic form

Q: d. log5 125 = 3x

A: We will find the required.

Q: QUESTION 4 Simplify log 8*+ 1 a. 8 b. C. d. x +1 a) b) c) d) МacВook Air OOOO

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Q: form into one log expression:  log4(64 x √644) + log4(46 + 43 / √256)2

A: To form one log expression.

Q: Simplify the following into a single logarithm: 2 log(6) + 2 log(x) 62 O log x2 () 2.6 O log 2x O…

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Q: Express as a single logarithm and, if possible, simplify. In x6 - 3 In ³√x5 In x6 -3 In √x5=…

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Q: If log, = 3 then 3D3 then O z=8 I = 27 O x = 125 =64 x = 216

A:

Q: Evaluate the complex logarithm: In (i + i*) In v2 + 7? i In v2 + 3 i In v2 – 7 37T In v2 – 3 i 4

A: Here, the given expression is: ln (i2+i3)

Q: Given log2 A + log2 B = 5, calculate all the possible integer values of A and B. Explain your…

A: Note: for any a>0, b>0, c>01) loga(b)+loga(c)=loga(bc)2) If logab=c then b=ac

Q: a. b. C. (30²)² Simplify: -Xb³ 6b Simplify 3 - logx² + log(xy) expressing it as a single logarithm…

A:

Q: Simplify. State any restrictions on the variables. a) log(x² – 4) – log(x – 2) b) log(x? + 7x + 12)…

A: According to question,Given,a. log x2 -4- log x-2

Q: y=log2x ⋅ log3x

A:

Q: log, 5= 0 1 O 6 8. 0 7 O 5

A: To find

Q: Simplify the expression. log (x5 - 7) (x² 4 44) 4 A) -7 B) x5 - 7 C) 5 D) x5 44)

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Q: Use the laws of logarithms to combine the expression: 2 (log, x + 2 log, y – 3 log, z)

A: To use the laws of logarithms to combine the expression

Q: Mrs. Brown asked Rachel to come to the whiteboard to simplify these exponential expressions. If she…

A: simplify the given exponential expression.

Q: 1 log5 125

A:

Q: Log, x + log4 x = 3 x3D %3D

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Q: Evaluate the complex logarithm: In(i² + i*) O In v2 + i O In v2 - i O In v2 - *i O In v2+ *i

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Q: Express log,√xy², x>0, y > 0, in terms of p and q, where log,x=p and logby=q. Select one: 1 p²+q pq²…

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Q: 2. Write as a single log in simplified form. [3 marks each] log(6x² + 5x − 6) + log(2x − 3) −…

A: log(6x2+5x-6)+log(2x-3)-log(4x2-9)=log(6x2+5x-6)(2x-3)-log(4x2-9)…

Q: Clogoct logg) %3D 2 Then fin of the value of +y

A: