Simplify. Enter the result as a single logarithm with a coefficient of 1. To enter the log, click in the answer cell, then click on the small yellow arrow on the right. Then click the Functions tab to access the log. If needed, you can change the base. Using the keyboard, you can also enter log3 2 as log_3(x^2/2). log, (2æ“) – log, (2ª) :

Q: Express as a single logarithm. 5log,m- log,n

A: The rules one have to use in this question are logam-logan=logamnalogbm=logbma

Q: Find x if  2log5 + (1/2) log9-log3=logx

A:

Q: Write the logarithm in expanded form. 3z log, 어(플)

A: The given expression is log73z2.

Q: If log, (4x + 6) = 3, then x = %3D

A: Given:          log2(4x + 6) = 3   To find x

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

A:

Q: Express as a single logarithm. log10(30) − 1/4 log10(10,000)

A:

Q: Express the ratios in Exercises 69 and 70 as ratios of natural logarithmsand simplify.

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: Write as the natural log of a single expression: 5 ln(x1/2) + ln(9x)

A:

Q: Express as a single logarithm. 3log6x + 5log,(x - 6)

A:

Q: single, simplified logarithm Express as a 1- (log510 + 2log53)

A:

Q: Express as a single logarithm.  log10(90) − 1/4 log10(10,000)

A:

Q: express as sum of logarithms log4(14*22)

A: Here we use the product rule for the logarithms function:

Q: Express as a product. 9 log 10y - 9 log 10y

A: The given expression is  log10y-9

Q: Expand: log, (xVy).

A: logbxy3=logbx·y13

Q: Write as a single logarithm: In(x – 1) +2 ln(3x + 1) + In (x² + 9) – 2 ln 3 – In æ 2 3 In 2 – - |

A:

Q: Expand: logb(x3√y).

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: c) log, a5

A: Given  loga2=5 and loga3=8

Q: Write as the log of a single quantity: {[3logx + logy - log5]

A:

Q: Let a = ln2 and b = ln3. Use the log properties to express the value ln72 in terms of a and b.

A: By using logarithmic property, we express the given logarithm.

Q: Write as the natural log of a single expression: 2 ln 5 + 3 ln 4

A:

Q: Find fx) if fx) = logX-5 %3D x4-3

A: f'(x)=?

Q: Express as a logarithm of a single number/expression A to C . a. logx20+logx2 b.3log3x-log3y…

A:

Q: If log, (3z + 6) = 3, then z = You may enter the exact value or round to 4 decimal places.

A:

Q: Express as a single logarithm. 2 log 9- log br

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Suppose log, 3 = 15 and log, 5 22, find: d) log, e) loga a c) log, 1

A: Given that

Q: Express using a single log2Log a2 – Log b – 2 Log a2b + 2Log b

A: The given expression is as follows:2Log a2 – Log b – 2 Log a2b + 2Log b

Q: Write as a single term that does not contain a logarithm: eln &-In 2

A: Given,           A=eln8x5-ln2x2

Q: Find the exponential equation whose graph passes through the points (-1,2) and (1 y%3D

A: We will find the exponential function.

Q: Express (logxa)(logab) as a single logarithm.

A: To simplify the given expression.

Q: Evaluate: log,36²/3 given than log636 = 2

A:

Q: Express as a single logarithm log, * + 3 log. (G) - log, x 국)-loga

A: LetL=log4x2+3log4(y3)-log4x45Apply log rule:   alogcb=logcbaL=log4x2+log4(y3)3-log4x45Apply log…

Q: Suppose loga 15 and log, 5 = 22, find: a) log, 9 b) log, 75 c) log,

A: Given Data: loga3=15loga5=22 (a) loga9 Solve the given logarithmic function.…

Q: Express as a single logarithm and if possible simplify

A:

Q: 1. Find x if log,8x

A:

Q: Differentiate logx 2

A: We have to find the derivative

Q: ,3 log Y

A:

Q: log, (1 – 4x) = log,(2x? + 3)

A:

Q: Write as a single logarithm and simplify. In(x+1) + In(x-1)-2lnx

A: Hh

Q: Calculate log_10(5)

A: calculate: log_10(5)

Q: Express log,(9AB) in terms of log ,4 and log, Bin simplest form.

A:

Q: express as a single logarithm. 6 logb^x-logb^y

A:

Q: 3. Write as a single log. log2 (36) + log2(x – 2) – 3 log2 (y +5)

A:

Q: Express as a single logarithm. (a) 4 In(x – 6) – In(x² – 10x + 24) + 2 In(x – 4)

A: The given logarithmic expression is: 4 lnx-6-lnx2-10x+24+2 ln x-4  Since the  logarithmic property…

Q: Express as a single logarithm and, if possible, simplify. Inx-7[In (x- 4) + In (x + 4)]

A:

Q: Write In(x2 - 3x + 2) - In(x - 1) as a single logarithm. In(x + 2) In(x + 1) In(x + 3) In(x - 2)…

A: We can find the answer as given below

Q: 5. Determine an expression in terms of x, y and whole numbers for log, 400 if log 980A

A: Introduction: We will use some logarithmic properties to solve this problem. log(mn)=log(m)+log(n)…

Q: Find x when log,x = 1

A: Given : log2x = 1