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

Q: Use the definition of logarithms to completely simplify. log, (v3)

A: The given logarithmic function is  log33. Solution:  Rule of Logarithms, logabn = nlogab…

Q: Condense the following into a single logarithm } log, 8 – log, (3ª – 8)

A: Answer is given in next step.

Q: Write as a single logarithm simplify and condense as much as possible

A:

Q: xvx² – 1 In (х — 3)

A: Given,           lnxx2-1x-32

Q: Write as the sum and/or difference of logarithms. x2 + 7x + 12 log2 12 + 3x

A:

Q: Write as a single logarithm: log r² V5 – log rs² + 1

A: Product property of logarithm: Quotient property of logarithm: We know that,

Q: Write each expression as a single natural logarithm. 12. In 9 + In 2 15. (In x + In y) – 4 In z 19.…

A:

Q: Write as a single logarithm: log 25 + log 4

A:

Q: 2 In x - In y + 1 5

A: we know that logarithmic properties :  1 ). ln ( a • b ) =ln ( a ) + ln ( b )  2 )  ln ( a n ) = n…

Q: Convert 6x = y to an equivalent statement involving a logarithm.

A: Given, 6x = y Aim to convert into equivalent statement involving a logarithm.

Q: 5log. (x) – 7log, (xy) – 3log,(z) -

A: Answer and explanation is given below..

Q: Write as a single logarithm: 3 log, x - 2 log, 5 log, y.

A:

Q: Expand the following logarithm as much as possible. ,2.3 x*y log7

A: Solve the following

Q: 19. 2 log310 – log:4

A:

Q: ewrite as a single log. log,2x+3(loga X- log.y)

A:

Q: . Use the change-of-base formula to write (log, 5)(logs 9) as a single logarithm.

A: For natural logarithms the base is e. This is the most commonly used base for logarithm. Another…

Q: Write as a single logarithm. 2 – log(x)

A:

Q: Combine into a single logarithm.

A: 32log2x-y-2log2x2+y2

Q: Write each expression as a single logarithm.

A: Write each expression as a single logarithm:ln(x-1x)+ln(xx+1)-ln(x2-1) Solution: Given expression…

Q: If e-x = 3.2, write x in terms of the natural logarithm.

A: Given e-x=3.2

Q: express as single logarithm and if possible simplify log 1000-log10

A: Given:

Q: Find the largest value of x that satisfies: log, (a?) – log, (x + 2) = 3

A: log6(x2)-log6(x+2)=3

Q: Write y=x+ in logarithmic form

A: Using the properties of the logarithmic functions, we can write that: log ab=blog alogab=log blog a

Q: Expand each logarithm using the properties above. b) log, Vx²yz

A: Given: We need to solve log2x2yz3.

Q: Rewrite the logarithm as an exponential. In(z) = y

A:

Q: Write as a single logarithm: log(4x - 3) - log x.

A:

Q: condense to a single logarithm: 2log4c + log4a / 2

A: We have to solve given expression for single logarithm.

Q: Write the expression as a single logarithm. 1 - log, z+4log, w- log,y

A:

Q: Condense the expression into a single logarithm. log, (w) 7 log, (x) – 2 log, (y) 3

A:

Q: 4 log, 2 y

A: topic - logarithmic function

Q: Write as a single logarithm: log(7x + 6) - log x.

A: The given expression is  log(7x + 6) - log x.   Log rule:   logca-logcb=logcab

Q: Write as a single logarithm: (1/2)log x + 4 log(x - 1)

A: Given: y=12logx+4logx-1 we know that mlogn=lognm…

Q: Write as sum and difference of simpler logarithms. 1. In *(r-2)s V3x-4

A:

Q: Write the following expression, 5 log, (x) – log, (3x), where b > 0, as a single logarithm.

A:

Q: write the logarithmic expression as a single logarithm with coefficient 1 and simplify as much as…

A: Use the log of power formula to simplify the expression as follows.

Q: Recall the change-of-base formula. log,(x) log,(a) log,(x) =

A: Explanation and solutions is given below....

Q: Write as a single logarithm. 1- log(x)

A: Given,          1-logx

Q: Use the Lavws of Logarithms to evaluate the expression. log;(V2)

A:

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

A: Hh

Q: Write as a single logarithm: 1/2 log x + 6 log (x - 2).

A: The given expression is 12logx+6logx-2 To write the given expression as single algorithm. Solution:…

Q: Complete the table by finding the appropriate logarithmic or exponential form of the equation, as in

A:

Q: expand each logarithm completely

A:

Q: Write as a single logarithm and simplify if possible. 1. In(x²) – 4 In(y) – 61n(x³/2)+ 3ln(2y²)

A: This question can be solved using the properties of logarithm.

Q: Find the logarithm. lor, (2:)-[ log2

A:

Q: Convert to a logarithm to solve.

A: The given equation is: 8x=4 Convert to a logarithm to solve for x.

Q: 3 log, (zVx. y)

A:

Q: Expand each logarithm. log, (r . y - 2')

A: Given,           log3x·y·z3