Express (logm - 3logn + 4log (5√ p) - 2logp) as a single logarithm.

Q: Solve 5-log3

A: Let the given value be y - y = 5-log3

Q: 120 FIK)T log, =x, express log in terms of x

A:

Q: Solve : log r + log 8 = 1

A:

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

A: To form one log expression.

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

A:

Q: b) Solve 3 logx9 - logx²3 = 2

A:

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

A:

Q: Solve: log, Vx + 5 = 4

A: Given          log2x+5=4

Q: Expand log6 (64x³[4x+1] ÷ 2x-1)

A:

Q: Simplify log(40x²) –log(10x) A log(6x²) Log(2x) log(3x²) log(4x²) log(6) log(2) log(3) log(4) B D

A:

Q: ODiFferentiat : ® y= log (22+7)

A: First convert in base e then differentiate

Q: Rewrite log3(4x^3−2x^2) as a sum of terms

A: Properties of logarithmic function: loga(xy)=logax+logab logaxb=b logax

Q: Express in exponential form:-8+ 8i/3.

A: Given z = -8+8i3 Compare it with z = x+iy Here x = -8y = 83 Then r = x2+y2= (-8)2+(83)2= 64+192=…