Expand the following expression as much as possible and compute any parts that can be done without a calculator. log(100x)log(y3) / log(z)

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

A:

Q: Express the quantity as a single logarithm. In 2 +In 27

A: Given,

Q: Find the largest value of x that satisfies: log, (2) – log,(æ + 1) = 1 2 Calculator

A: We have to find x

Q: Given that logx = -2 and logy = 3 then simplified value of log(x7 * y³) is 29 -5 32 15 None of these

A: Given: logx = -2 and logy=3 To evaluate: logx7×y3 We know the following logarithm properties logmn=…

Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: If log2(7x+6)=1, then x=

A:

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: Find the largest value of x that satisfies: loge (2) – log,(r + 1) = 6

A: Use the properties of logarithmic function, to rewrite the given equation.…

Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

A:

Q: Find the value of Log(-1+i) In/2 – in/3 lny2+ ίπ/4 in5-ίπ/6 ly2 +3ίπ/4

A: Solution:

Q: If logx(1 / 8) = -3 / 4, than what is x?

A: Given,

Q: If log(x + 8) + log(x – 8) = 1 then The value of æ is

A: This is a basic log question that can be solved with logarithmic property. The product rule of…

Q: Use the properties of logarithms to expand the quantity:  log2(x10y/z5)

A:

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: condense the following expression into a single logartithm whose base is 4.  3log4X-log2Y+2

A: It is a logarithmic problem

Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

A:

Q: Express as a single logarithm and if possible simplify

A: We have given the expression

Q: Estimate the error in the value log 2.7 obtained from the following dată.

A:

Q: Vx*+12 In (x+16)/x-3

A: Given,                   lnx4+123x+16x-3=?

Q: og (x2 + 2x - 8) = 2 + log (x + 4)

A:

Q: y = x² log2( 4*)

A: given function :

Q: (a) If logx16=2, then x= (b) If logx81=4, then x=

A: For (a), Given logx16=2. So,          logx16=2⇒1log16x=2Multiply both sides by…

Q: If log (x³ (x-2)) is expanded to Mlogx+ Mog(x-2, what 3 thhe sum of Mand N?

A:

Q: Express as a single logarithm. log H+ log Z

A:

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: If y = loge (2x + 1)'/2 ? and x = 1 y'will be equal to Select one: O a. 1.3

A: The given function is y=loge 2x+112. Obtain the derivative as follows. dydx=ddxloge 2x+112=ddx12loge…

Q: Expand the logarithmic expression In(XY^2Z^3)

A: To expand the logarithmic expressionlnxy2z3

Q: Given that log x = 3 and log y = 4, find log Vx3y2. O 6.93

A: Using the properties of logarithm we expand it

Q: e ecse with the and of logarcdtlmc dffenatiation /-

A: We have to find the differentiation of the given y

Q: 11. Write as a single logarithm: 1 log2 X +3 log2 Y - 3 ·log2 Z

A: To write: The expression 13log2X+3log2Y-52log2Z in single logarithm. Formula used: Logarithmic rule:…

Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: (8) Expand the following into as many logarithms as possible, with what's inside each logarithm as…

A:

Q: Express the following sum and/or difference of logarithms as a single logarithm. 2 loga y+logs -…

A:

Q: Express the given quantity as a single logarithm. - In(x + 2)5 + In(x) – In(x² + 3x + 2)=

A: We have to simplyfing this

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 1225

A: Given, ln(1225) Express this in terms of ln(5) and ln(7)

Q: Evaluate y for the fx)= 4"-5 log,(x) 4*ln 4- Inx 4- x In 9 4- In 9 4'ln 4- x In 9

A: Answer

Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

A:

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: Find the largest value of x that satisfies: log; (x²) – log3(x + 3) = 8 Z Calculator

A: Explanation of the answer is as follows

Q: Express the quantity as a single logarithm.   In 5 + 5  In 3

A:

Q: Suppose we know that log x = 7.4. Find the following. log (1000x)

A:

Q: Evaluate (logyx)°, having given, 1 1 y = log10x + log10x +, logi0x + 00 ... - 2 1+3+5+ ..+ (2y – 1)…

A:

Q: State the restriction(s) on the variable x in log(2x-5) – log (4 - x)

A:

Q: single logarithm:

A: Given: log2x -log12x-1 To express: The expression as a single logarithm.

Q: 6. Expand the expression 2x+3 log (x+4)°(x- 3)*

A:

Q: Expand and simplify: log4(xy^5/z^4)

A: To simplify the below logarithmic expression

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

A:

Q: Express

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)