e3+j4(3+ j4)5 log ji' sin(3 + j4) j2022

Q: a) log₂ (x + 5) + log₂ (x + 2) = 2 b) 5(x-2) = 3(3x+1)

A:

Q: PROVE that log, 100 = 2(1 +log; 2)

A: We have to prove that                                     log5100=21+log52

Q: log y11 ( express as a product)

A: Given query is to find the product expression.

Q: log(1 + (2y/x) + (y^2/x^2)) + 2logx, simplify and state restrictions

A: The expressionlog(1+2yx+y2x2)+2logxThe propertieslog(mn)=logm+lognnlogm=logmn

Q: Log ax5)-Log (7x+2)+lo9_ (8x+3)=3 3. 3

A: The objective of the question is evaluate the equation.

Q: Find exponential equation (0,2) (1,7)

A: The general equation of exponential is given by,                                y = k axUse given…

Q: Use the power property of logs to condense. 3log_(8)(c)-log_(8)(n)+3log_(8)(a)

A:

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

A: We have to find x

Q: jlog(4- ji') (541.5) In log(4ejn) j log(-7)

A:

Q: log, (5x + 8) = log,(9x) 5z +8 =

A:

Q: What will the coefficient (x – 1)² in the expansion of loge x about x = 1 ? %3D

A: Introduction :

Q: What is the value of b so that (x) = log,(x) passes through the point (64, 3)? B -8 D {-4,4}

A:

Q: ) log(x − 1) − 1 = − log(x + 2)

A: Given,             logx-1-1=-logx+2

Q: 2(q-1)(1–u) + (q-1)(2–u)u+1 log((q-1)(2-u)u+1) > 0 for u > Show that

A: Use some predefined quantity to prove the given expression is positive.

Q: How do I expand this logrithmic equation? In(x2 square root of y/z)

A: Given:

Q: solve for x, log(x+5)-log(x+2)=2 please show work.

A:

Q: log base 3 (x+3)+log base 3 (x-3) = 3

A:

Q: log base5 (x+1)^5=2

A:

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…