13. Combine the following into a logarithm: single 2 log – 3 log y + log(x*y²)

Q: 3. Find syz for ys = In(x + yz) – xcoth-1 log ().

A: Given : Let us consider the given value as,  ys=ln(x+yz)-xcoth-1logzy

Q: Suppose that log, x = 5 and log, y = 4 compute %3| log, Vx²y³

A: Given

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

A: We first write the inner expression using an exponent.

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

A:

Q: Expand into several logarithms: x² y? In z5

A: We need to expand the given logarithms into several logarithms lnx2y3z5

Q: Express in terms of logarithms of x, y, z, or w.

A: Express in terms of logarithms of x, y, z, or w.  Given expression is log3 y5

Q: d) log, V5 e) log, () f) log, a

A:

Q: X-y 19. If log 3 (logx + logy), show that x+y = 11r %3D

A:

Q: - Express as a single log. 3 log4 x + 2 log4. log4 y - Show your work

A:

Q: 2. Differentiate: a) y = log2(3x) %3D 2 b) f(x) = –7 log(x²) %3D

A:

Q: 2. Find y' if y = 7* (log4 x)⁹.

A:

Q: 19. If logx y + log, x = 2.9 and xy = 128, find x + y. 24 O 20V2 O 36 O 34V 2 O 66

A:

Q: log x – 3 log y +;log x – 2 log w

A: Given,log x-3 log y+12log x-2 log w

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

Q: y = x² log2( 4*)

A: given function :

Q: b- find x for following 1. logx = V2 2.ln(x + 1) = 5

A:

Q: 8. Express as a single logarithm and simplify if possible: log x + 4 log y – 2 log z A. log 3(술x +…

A: Our Objective is to simplify.

Q: log (x2) - log(v9) + log(z4) condensed into a single logarithm is expressed as log() Select one: O…

A: Expression is given by logx2 - logy + logz4 To evaluate : Single logarithmic expression.

Q: 16) Condense 3 log(x) + log(4y)- 2 log(5z) into one logarithm. A) log10z) B) log () C) log () 5z2

A: We have to condense the given logarithm into the single logarithm, 3 logx+log4y-2 log5z We know the…

Q: Combine into a single logarithm. log x + log(x2y) + 3 log y

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3(Z + 5)x2 + 4(Z…

A:

Q: B. Express as a single logarithm and, if possible, simplify. 1. log, x + 4 loga y – 3 loga x 6.…

A: This is a problem related to logarithm properties. Based on the general formula we can answer the…

Q: 2. Express as a single logarithm 4 log, x² + 3 log, ) – log, x X 5

A:

Q: 3. Express as a single logarithm: 3 log 2 + log x - log (4x) log(8x) A. log(4x) В. log (2) C. log…

A:

Q: Express in terms of logarithms of x, y, z, or w.

A: The given expression is logax3wy2z4

Q: dx Evaluate log - 1+ax 1-ах

A:

Q: 1. y = e9z-5 2. y = 2x ln(x +2) 3. y = (2x – 5) log(3x² – 6æ)

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: Condense to one logarithm: 7 log4 x – 6 log4 Y + 5 log4 z Which answer is correct? (A log (7x + 6y +…

A:

Q: Find x rounded to three decimal places. (1)log(3æ +2) = log(2a + 5) (2)log a – log 5 = log 7 2…

A:

Q: If logx = 4 and logy =7, then the value of -log is %3D xy

A: Given, logx = 4  and  logy = 7 We have to find the value of  -log1xy.

Q: Express in terms of logarithms of x, y, z, or w.

A: Known fact:log mn=nlog mlog mn=log m-log nlog mn=log m+log n

Q: - If y=a² 1-log.x and z=a* 1-log, y , then x is equal to

A: Introduction :

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: 17. Find the value of x without the use of calculator 1 log, 3. 4

A: Given:

Q: 7. Differentiate y = log10 (x² + 1)² b. 4xlog10e x²+1 a. 4x(x² + 1) c. log e(x) (x² + 1) d. 2x(x² +…

A:

Q: b- find x for following 1. logx = v2

A:

Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: 10. Express as a single logarithm. 6 log x + log 10 - log(x + 2)

A:

Q: ,162,20 If log A log(x) + Blog(y) + C log(z) 27 A = В - C =

A:

Q: Suppose log, (x) = 2 and log, (y) = 5. Find the following: d) log.(V) e) log, (x + 2y) f) log,(y")

A:

Q: 9. Express equivalent expression: log(x – 3) – log() + log 4 as an x+3

A:

Q: What is the simplified form of 4 * log_3(y) - 6 * log_3(x) + 7 * log_3(z) ?

A: Find the simplified form

Q: 2 log(x+y) = 3log3 +logx + logy

A:

Q: 7. Find y'. y = log, (9– x-x)

A:

Q: 25) if: 4 log10 x - iog16 y = log10 13, then B. 4 = 13y A. 4x = 13y C. x*y = 13 D. x* = 13y

A: hi, i am solving question 25 for other question please repost.