given that ln 2 = x, ln 3 = y, and ln 5 = z, express each of the given logarithmic values in terms of x, y, and z. ln 30

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: The given expression is ln 0.5 and ln 2 = a and ln 3 = b

Q: Express the given quantity as a single logarithm.  ln ( a+b)  +  ln (a- b) - 2 ln c

A:

Q: Find the solution of the exponential equation 2z +1 - 49 e41 %3D in terms of logarithms, or correct…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3.c. ln (1/2)           d. ln( 9)^1/3

A: Given: c  ln12  d ln913 Formula Used: 1 lnmn=lnm-lnn2 lnxn=nlnx

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: Express the following logarithms in terms of ln 2 and ln 3.a. ln 0.75                 b. ln (4/9)

A: (a) ln 0.75 = ln (3/4) = ln 3 - ln 4 = ln 3 - ln 22 = ln 3 - 2 ln 2 Hence the answer.

Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given that, ln 2 = a and ln 3 = b.

Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

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

A:

Q: The product property of logarithms states that log,(xy) = numbers b, x, and y, where b 1. for…

A: The product property  of logarithms states that logb(xy) = logbx+logby   for the positive real…

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given,ln2=a,ln3=b ln(1.5) On simplifying further we get: ln(1.5)=ln(32)=ln3-ln2…

Q: Find the solution of the exponential equation e2z +1 = 7 in terms of logarithms, or correct to four…

A: Given exponential equation, e2x+1=7

Q: Find the solution for x: log (Vz+1+1) log V- 40 -3

A:

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 0.056

A: We have to find ln(0.056) in terms of ln(5) and ln(7) Before that, write 0.056 in fraction

Q: Express the given quantity as a single logarithm 1/7 ln(x + 2)7+1/2[ln(x)-ln(x2+3x+2)2]

A: Formula used:

Q: 1) Solve for x and y in the following simultaneous equations *a) log, x = 2; 5y= x +12 log, y *b)…

A: We have to solve for x and y in the following simultaneous equations.

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

A: Given logarithmic expression is ln3x2-9x+ln13x. To express the given logarithmic expression in terms…

Q: Solve the following equations for xx using the natural logarithm:  11⋅4^x=2e^−3x

A:

Q: . Express the following logarithms in terms of ln 2 and ln 3.e. ln 3sqrt(2)             f. ln…

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

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given : ln 2 = aln 3 = b

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: We have been given that ln 2 = a and ln 3 = b.

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

A: The exponent 5 becomes the coefficient

Q: If we let In a = A, In y = B, and In z = C, rewrite the given logarithm in terms of A, B and C: h(x)…

A: In the question it is asked to simplify h(x) in terms of A, B, C.

Q: Express the following logarithms in terms of ln 2 and ln 3. ln √13.5

A: Express ln13.5 in terms of ln2 and ln3.

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given ln 2 = a and ln 3 = b.To find ln 27 in terms of a and bFormula:log ab=b log 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: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: It is given that ln 2 = a and ln 3 = b

Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given: ln 2=a……1ln 3=b……2   To find: ln 0.5   ……3

Q: Express the following logarithms in terms of ln 5 and ln 7.e. ln 0.056          f. (ln 35 + ln…

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

Q: suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write each logarithm in terms of…

A: Given, ln 2 = a and ln 3 = b

Q: In the given question , use the properties of logarithms to approximate the indicated logarithms,…

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

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: Express the following logarithms in terms of ln 5 and ln 7. (ln 35 + ln (1/7))/(ln 25)

A: ln(m*n)=ln(m)+ln(n)lnmn=ln(m)-ln(n)ln mn=n ln m

Q: B. Convert to an exponential equation. 1. log, T =x 2. t= log, 7 3. In 0.38 =- 0.9676 5. log 0.01 =-…

A:

Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: Suppose that ln 2 = a and ln 3 = b. Use properties of logarithms to write the logarithm in terms of…

A: Given,ln2=a,ln3=b. To evaluate:ln(23). Solution: ln(23) On simplifying further we get:…

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: The exponential form of log(x)+log(y)=-2 is: x-y=10^-2 10^xy=-2 x+y=10^-2 xy=10^-2

A: This question is related to exponential and logarithmic equations, we will solve it using given…

Q: What is the natural logarithm of e to the xy power

A: To find what is the natural logarithm of e to the xy power?

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 0.75

A: To express ln0.75 in terms of ln2 and ln3

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

A: Express the following logarithms in terms of ln 5 and ln 7. ln (1 / 125)

Q: Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous…

A:

Q: 1. Find the natural logarithm of the following when z equals: 1. -10 ii. –3 – j4 jii. 0.6 + j0.8

A:

Q: Find the solution of the exponential equation e21+1 = 23 in terms of logarithms, or correct to four…

A:

Q: If r (x) = log(x – 3) and s(x) 2 log x, which function represents (r + s)(x) ? |

A: It is given that, rx=logx-3  and  sx=2logxWe have to find the value of r+sx