6. If log3 = s and log2 = t, rewrite the expression log72 in terms of s and t.

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

A:

Q: 11. Express as a single logarithm and simplify if possible. log (x2 – 5x – 14) – log (x² – 4)

A: Given query is to simplify the logarithmic expression.

Q: Given that logx = -2 and logy = 3 then simplified value of log(x7 * y³) is 29 -5 32 15 None of these

A: Given: logx = -2 and logy=3 To evaluate: logx7×y3 We know the following logarithm properties logmn=…

Q: If log2(7x+6)=1, then x=

A:

Q: log10(2x- 4) = 1+ log10 4, then 'x' is equal to ...............

A: We have to find x

Q: If m = log2n and 2m + 1 = log2 16n, algebraically determine the values of m and n.

A:

Q: 4. If log,v=log,x - (2logby +logbz) , what is the value of v?

A:

Q: Suppose log, 2 = 5 and log, 3 = 8, find: a) log, 18 b) loga i 4

A: we know that  log ab = log a + log b  log a/b = log a - log b  log ab = b log a

Q: Solve the following: 1 (1) 2*-6 8 (ii) log,(x+3)=1- log,(x-1) =-

A:

Q: (1) Expand the following into as many logarithms as possible, with what's inside each simple as…

A:

Q: 11. Condense the expression log, (x² – 3x+2) . +2log(x+1).

A: Use base switch rule.

Q: 12.) Use the laws of logarithms to combine: 2 log x + 1 log(x² + 1)

A: We have to use the laws of logarithms for the given equation.…

Q: 4. Rewrite log(AB²) in terms of logA and logB, or state that this is not possible. log(AB?) = ,

A: We will solve the logarithm problem.

Q: 2. a) Express log, 3 in terms of a logarithm to base 3.

A: We have to express

Q: TWO quantities M and N are defined via logarithms as log M = 2, log N = 5 EXPLAIN why N is greater…

A:

Q: 2. The expression log(3 + x) is undefined for what values of x?

A:

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

A: Given that

Q: If log3 (5) = 3y, log; m² = 6 and 2 log; (4) = 4x then what expression (in terms of x and y) is log3…

A:

Q: Find the solution set for log3 2+2.log, x=|

A:

Q: 2) If x=0 and y=5 Check if the following statement is true. Explain and show your work. log, (5x –…

A: log of negative number does not exist

Q: 7. If log, w = and log6x + log6 y = 1, then determine the value of log7 (4) + log6 (36x²y²) ?|

A: topic- logarithmic equations logaa=1log(ab)=log(a)+log(b)logab=log(a)=log(b)log(am)=mlog(a)

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

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: 14. Use the change of base formula to write 2 different expressions that are equivalent to log215.

A: The above question is ansered bellow

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

A:

Q: Write the following expression as a single logarithm with coefficient 1: In (2z") – In(3z°) +…

A: Given- ln2x9-ln3x6+ln8x7 To Write- The above expression as a single logarithm with coefficient 1.…

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: 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: 13. If log 2 = 2.41 and log 6 = 6.23, find the value of: log,() 12 13а Enter your next step here

A:

Q: 4. If log,v =logox- (2logby+log,z), what is the value of v?

A: Logarithm s

Q: 9

A: We need to solve

Q: What is the value of (log 5 to the base 2) + (log 5 to the base 3)?

A: the value of (log 5 to the base 2) + (log 5 to the base 3) is

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: If log, 2x + log4(x- 2) = 2 then x is equal to? %3D

A:

Q: Given that log5(2)= 2.32 and log5(3)= 1.46 What is log5(4/3)?

A:

Q: if m=log10 n, what other relationship exists between m, 10, and n?

A:

Q: 10) Solve the following. log2 (x + 1) = 3+ log2(x + 2)

A:

Q: if log7M=log(2)3/log(2)7 than M =3, 1, 7 or 2?

A: We use Logarithmic properties

Q: 4) Use the Laws of Logarithms to expand the expression as much as possible. Vx +5 In (2x²/y/

A:

Q: If (5)** = 16 and log x-y8 =- 3, calculate the values of x and y. %3D

A: lna(b)=y then b=ay  (am)n=amn

Q: 13. Combine the following into a single logarithm Inz- 3 In (z + 4) + In (y)) 112

A: Follow the steps.

Q: If log2(3r + 5) = 5, then z =

A: We have to find the value of x log2(3x + 5) = 5 . So , By logarithmic properties. loga(b) = C Means…

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

Q: 6. Use log, 10 3.322 and log 8s 0.903 to approximate the value of the expression. log, 100

A:

Q: If log2(p + q) = 3 and log3(p + 2q) = 2, algebraically determine the values of p and q.

A:

Q: 2. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much…

A: Using logarithmic identities we can solve for the given statements

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: 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of and b

A:

Q: 2 log, 64|,B = |** 6 [x +3 = 4 В 10 -4] 4 [m LetA = 4 21 3. 2 -7 5 4 and D =, *,. Find X, if AB" +…

A: To find the value of X.

Q: /log_4 x=6 then x =

A: