Assuming x and y are positive, use the properties of logarithms to write the expression as a sum or difference of logarithms or multiples of logarithms. 5.) log 27x5 a.) 5log27x b.) 3log3 + 5logx c.) 5log27+ 5logx d.) 9log3+ 5logx

Q: = If log, (x+ 1) = then x اختواحد الخيارات 20 3 2.

A: Given log9x+1=12 Apply log rules logbx=yThe anti logarithm is calculated by raising the base b to…

Q: Assume that for some base a, logąx = 0.3000, logay = 2.8642, and logąz = 1.7642. Find %3D %3D loga…

A: log (mn)= log(m)+log(n)logmn=log(m)-log(n)logam=m log (a)

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

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

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

A:

Q: Assume that x, y, and a are positive numbers. Use the properties of logarithim to write the…

A: Assume that x, y, and a are positive numbers. By using the properties of logarithim to write the…

Q: Express the following log expression as a single log with a coefficient 1: -12log5^x+2log5^y=

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Q: Express as a single logarithm and, if possible, simplify. 1 log b +3 log c 2 log b + 3 log c = 2…

A:

Q: If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate…

A: logab=x3b=ax3

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

A: To solve the logarithmic expression

Q: Assume that x, y, and d are positive numbers. Use the properties of logarithims to write the…

A: Assume that x, y, and d are positive numbers. Use the properties of logarithims to write the…

Q: Write the expression as the sum or difference of two logarithmic functions containing no exponents.…

A: Use the addition property of logarithm.

Q: Assume that x, y, and c are positive numbers. Use the properties of logarithms to write the…

A: Given :logc5xy

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

A:

Q: If a, b > 0, find the number z that satisfies (az)loga = (bz)logb, e logarithm of any appropriate…

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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: State the expression log in terms of individual logarithms of x, y and z.

A: Given log z54x2y7

Q: 3(log7(x) + 2 log7(y) − 4 log7(z))

A:

Q: Show that, log(-1+i)² + 2log(–1+i).

A: Use the formula logz=lnr+iθ. To find log-1+i2:…

Q: If H(x) = logb 1/x, show that H(b-1/z)= 1/z

A: H(x)=logb1x, we have to show that Hb-1z=1z

Q: Express in logarithmic form for the base. ab= N

A: Given, ab=N Aim: express in logarithmic form

Q: Write as a single logarithm. Express coefficients as powers inside the logarithm. 6 In(x) + 3 ln(y)…

A: Here we need to write the given expression  6ln(x)+3ln(y)-7ln(z)-5ln(w) as single expression.

Q: 1 Use log,4 0.712 and log. 12~1.277 to evaluate log, 3 1. log,

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Q: Determine the X and y nter zevos of the logari thmicc toncfion 4= logo (10x +)-4

A: Consider the given function as y=log310x+1-4

Q: The domain of log, (x) is

A:

Q: Let log 3 = J and log 7=Z. Write the expression in terms of J and/or Z. log 59 log +9=

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Q: Use log, 3 s 0.613 and log, 9 s 1.226 to evaluate log, 27 1.839 1.387 -0.613 0.752

A:

Q: Interpret the  coefficients of any 2 variables with their individual significance, all variables are…

A: Given, the result of a regression analysis where the variables are in log form. The interpretation…

Q: = log,25 -x=

A:

Q: 2. Simplify by writing as a single logarithm: Show all steps clearly including use of 'log' rules.…

A: We have to Answer only Question (2) as stated. We know that,

Q: Use the change of base formula to express log, 2 using In, the natural logarithm.

A:

Q: find log(z) where z=-1-3i.

A: Given:      z=−1−3i

Q: Express as a single logarithm. 3 log bt- log bS O A. log t° + log s О В. Тoд b Oc. log, (° -s) 3t O…

A: Use the exponent rule of logarithm to write 3 as exponent.

Q: If p(x)=(x3+2x)^sinx, find p′(x).  Enter an exact answer in terms of a natural logarithm.

A: As the given function :- P(X) = ( X3 + 2X )sinx  P'(X) = ?

Q: convert the exponetial in logaritham form. 4v=a

A: logarithmic form will be  log4a = v

Q: Write the expression as a single logarithm with coefficient 1. Assume all variables represent…

A:

Q: Assume a > 0. Which of the following is/are NOT equivalent to the expression log, (20x²)? Olog, (2a)…

A: We have the expression: log3(20x2)

Q: Assume X, Y, Z are positive numbers. Use propertie of logs to write the expression - 2log X-blog₂ y…

A:

Q: Use the logarithm rules to expand the logarithmic expression as a sum, difference, and/or constant…

A: Use the Lograthmic rules to expand the Lograthmic expression as a sum , difference and /or constant…

Q: Use the Law of Logarithms to combine the expression: 3(log, (x)+3 log,(y)– 4 log,(z))

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Q: Show that, log(-1+i)² # 2log(-1+i).

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given that log2=x, log3=y, and log7=z, express log15 in terms of x, y, and z.

A: Given that, log2=x,  log3=y,log7=z The objective is to express log15 in terms of x, y, and z.

Q: Express as a single logarithm and, if possible, simplify. 1 log b + 3 log c 2 1 log b +3 log c= 2…

A:

Q: Express p in term of q if: log,p -log,q =1

A: We have to express p in terms of q.

Q: If log, 1 a =– and log, vb =3x², show that x = - %3D 6

A: logba=1x  →1  &  logab=3x2  →2

Q: Write as the natural log of a single expression:(a) 2 ln 5 + 3 ln 4 (b) 5 ln(x1/2) + ln(9x)

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Q: Show that if log, a=c and log_ b = c, then log, y =c².

A: Using the properties of the logarithmic functions, it an be written that logbc=log clog b.  Using…

Q: Let u = In a and v = In b. Write the expression in terms of u and v without using the logarithm…

A:

Q: Finds so that lik Use the log

A: We know that: lnAB=ln(A)-ln(B)       and        ln(ab)=bln(a)   Also, we know that: limx→01+x1x=e…

Q: Express log 45 in terms of A, B, C, where A = log 2, B = log 3, and C = log 7. 2A B 2 A+ 2B 1 A+2B+1…

A: Given  A=log 2, B=log 3, and C=log 7 We have to express log 45 in terms of A, B, C.

Q: Express as a product. log A (y)

A: