Suppose logb 2 = a and logb 3 = c. Use the properties of logarithms to find logb 32

Q: Condense to a single logarithm with a leading coefficient of 1. logb(45) − logb(5)

A: For same base and for subtraction of logs, the numbers inside log divides.In this problem a=45 and…

Q: Use the Laws of Logarithms to expand the expression. log7(xvy)

A:

Q: Let logb 2 = A and logb 3 = C. Write the expression logb √(3/16) in terms of A and C,

A: Given :

Q: Suppose logb 2 = a and logb 3 = c. Use the properties of logarithms to find the following. logb 18

A: To find: The value of  logb18. Given: The logarithmic equation are logb2=a and logb3=c. Formula…

Q: if a=log m and b=log k . what is log m6/k7 ?

A: Given,            a =log m and b = log k

Q: Use the change of base rule to find the logarithm to four decimal places. log9 .88

A:

Q: Evaluate the expression without using a calculator. log27 1/9

A:

Q: Use the Laws of Logarithms to expand the expression. log2 (xy)10

A: Our Aim is to expand the expression given below:-log2 (xy)10 -(i)

Q: Find the value of log 2 log48

A: To find the value of following expression log42 + log48

Q: Suppose log ,2 = a and log ,3 = c. Use the properties of logarithms to find the following. log…

A: Please refer the attached image for complete solution. THANK YOU !

Q: What is b if (logb x)' = -1/3x

A:

Q: In(4t*) – In 2 2.

A: This problem can be solved using properties of natural logarithm

Q: Express as a sum of logarithms. log 9(18• 12)

A:

Q: Use the Lavs of Logarithms to expand the expression. log;(xV)

A:

Q: Suppose logb 2 = a and logb 3 = c. Use the properties of logarithms to find the following. logb(9b2)

A: Given: logb 2=a……1logb 3=c……2   To find: logb 9b2 ……3

Q: Suppose logb 2 = a and logb 3 = c. Use the properties of logarithms to find the following. logb 32

A: Since, we have been given that logb(2)=a and logb (3)=cOur Aim is to find the value of logb (32)=?

Q: Evaluate the expression without using a calculator. log33

A: Please see the explanation below

Q: let logb 2 = A and logb 3 = C. Write the expression logb81 in terms of A and C,

A: Given : logb2=A logb3=C

Q: Evaluate the expression without using a calculator. log 25 + log 4

A: To evaluate the value of the expression: log(25)+log(4) Solution: Given expression is:log(25)+log(4)…

Q: Find oz if logm49=2

A: Here we use basic properties of logarithm.

Q: Evaluate the expression without using a calculator. log8 1

A: We have to evaluate the expression: log81 We know the properties of logarithm, logaa=1loga1=0

Q: If log 3 = A and log 7 = B, find log, 9 in terms of A and B.

A: Use the logarithmic property logabn=n logab to find log 9 in terms of A. log 3=A2 log 3=2Alog…

Q: Convert the given into single logarithm log58+log57-log55

A:

Q: Use the Laws of Logarithms to expand the expression. log √t5

A:

Q: let logb 2 = A and logb 3 = C. Write the expression logb 6 in terms of A and C,

A: Given : logb2 = Alogb3 = C

Q: Use the Laws of Logarithms to expand the expression. log2(xy)8

A: Solution - Let the given logarithmic function be y, then - y = log2xy8Using logarithmic property -…

Q: evaluate each logarithm correct to sixdecimal places  log 2 8.4

A: Given, log28.4 We know that, For any a>0 & a≠1⇒logax=lnxlna Here a=2 and x=8.4

Q: . log, (5) + 4 8

A: We have to evaluate the value of        log2(1/8) + 4

Q: Enter the expression which represents log a + 3 log 2b as a single logarithm.

A: Given:         log a + 3 log 2b              To represent the expression as a single logarithm.

Q: Evaluate the expression without using a calculator. log5 √5

A: We Can write it as log5 512

Q: Evaluate using the change of base formula (without a calculator).

A: To calculate the given equation

Q: Evaluate the expression without using a calculator. log 2 (log 55)

A:

Q: Evaluate the expression without using a calculator. loga

A:

Q: Evaluate the expression without using a calculator: log31/√3

A: the given expression is: log313 we have to evaluate the given expression.

Q: Use the Laws of Logarithms to expand the expression. log5(xy)7

A: Given expression log_5(xy)^7 We have to expand the expression using the laws of logarithms.

Q: Evaluate logarithm

A: we will use following identities to answer the given question .  1a=a-1an=a1namn=amnlogaa = 1

Q: Suppose logb 2 = a and logb 3 = c. Use the properties of logarithms to find the following. logb(72b)

A: We have to solve

Q: Find the value of x, if log(x+5)+log(x-5)=4log2+2log3

A:

Q: Evaluate the expression without using a calculator. log 0.000001

A: To evaluate the expression without using calculator. log 0.000001 Solution: Properties of logarithm…

Q: Let logb 2 = A and logb 3 = C. Write the expression logb √(2/27) in terms of A and C,

A:

Q: Use the properties of logarithms to condense th logarithmic expression 5log2(x + 6) – 4log2y

A:

Q: Find the logarithm. log 464

A: Let  y=log464

Q: Use the properties of logarithms to write each expression as a sum, difference, or product ofsimpler…

A: The property pf logarithmic function is,

Q: Given logb(2)=0.3562 and logb(8)=1.0686, evaluate logb(16)

A:

Q: If log(a)=2, log(b)=−3 log⁡(c)=14, evaluate: log(10a/bc3 )

A: Use the below logarithmic properties to evaluate the expression