If log,b = x³ and log,(÷), determine the value of x by showing all steps in using the appropriate Laws of this unit.

Q: If log 3 = 1.35 and log 2 = 0.85, find the value of log V54 . log V54 Enter your next step here

A: Given : loga3 = 1.35                        loga2 = 0.85 Find out : loga54 Solution : loga54  =…

Q: If log, (6x + 2) = 5, then x = You may enter the exact value or round to 4 decimal places.

A: Answer is mentioned below

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: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log8 x

A: Given expression is By using base change formula, we have Therefore,

Q: for which value of x is the expression log7(2x-3) undefined

A: The logarithm function log(x) is defined only for x>0. So the  logarithm of a negative number  is…

Q: If log, 2 = 3, log2 y = 4, and log, z = 5, what is the numerical value of log2

A:

Q: log2(7x+2)=2, then x=

A: Given:- log2(7x+2)=2,  To find:- Value x

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: If log, (3x + 3) = 3, then x You may enter the exact value or round to 4 decimal places.

A:

Q: Solve the following: log, (x-2) + log, (x ) = 1

A:

Q: If log x y=1/6, which one of the following is true?

A: logxy=1/6 here logxy can be written as logy/logx   now logxy=logy/logx = 1/6   logy = (1/6)logx logy…

Q: Given that a and b are real and unequal and that logab + logba2 = 3, find a relation between a and b…

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Q: If log(7)x=0.4680​, determine the following.     log(7)x^2

A: Given:       To determine:

Q: Write log, x + log, y as a single logarithm with coefficient 1.

A:

Q: If log, (3x + 4) = 5, then x =

A: Log2( 3x+4)=5. using the definition of a logarithm:- for any positive real numbers x and b, b≠1,…

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: Express the ratios in as ratios of natural logarithmsand simplify. log2 x/log3 x

A: Given: log2xlog3x we know that logmn=lognlogm

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: 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: The power property of logarithms states that for any real number p, log, x = , positive real numbers…

A: The logarithmic properties are useful because they allow us to expand or simplify  the logarithmic…

Q: If f(x) = log, (2x – 7) and g(1) = log, 3, find a value for x that satisfies f(x)= g(x). %3D

A: f(x) = g(x)  => log4 (2x - 7) = log4 3 => 2x - 7 = 3

Q: Given that x > 0, the value of x for which log, x + log,(6x + 10) = 1 is %3D

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Q: If log(x + 13) + log(x – 13) = The value of æ is

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Q: Solve for æ in terms of k. log, x + log; (x + 10) = k. Find æ if k = 3.

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Q: If log2(4x+5)=1, then x=

A: To find the value of x we need to apply basics in logarithmic relation. We have the formula,…

Q: If log, (x +x) – log, (x + 1) = 2, then the value of x is

A: Use the properties of lograthim.

Q: The change-of-base formula states that log, x can be written as a ratio of logarithms with base a as…

A: We have to change the base of the given logarithm  we have,  logbx

Q: If log.32 = 5, what is the value of x?

A:

Q: Since log,(a) = c → a = b°, 1--2 In(즉)- e-1/2. » X = So, y' = 4x(1 + 2 In = 0 when x = -1/2 and y" =…

A: Since logba=c→a=bc                          1=-2lnx5  ⇒-12=lnx5  ⇒e-12=x5⇒5e-12=x⇒        x=5e-12

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: If log „x= 0.32 and log „z= 0.83, evaluate the following expression. log b

A: topic - logarithmic operations logab=log a-log blog am=mlog a

Q: If log, (4x + 4) = 5, then x

A: SOLUTION-

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

A:

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: if log 4 x=3 and 20 + 3^y = 101 find the numerical value of x/y in simplest form

A: Given that  log4 x=3  .... (1) 20 + 3^y = 101...... (2)

Q: For a logarithmic expression log, x, b cannot be less than 1. True False

A: Please refer the attached image for complete solution.

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

A:

Q: Use the Laws of Logarithms to combine the expression.

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Q: If log, (4x + 4) = 5, then x =

A: We will use properties of Logarithmic and Exponential functions   Answer given by two different…

Q: log, x + log, y+ 6log, -

A: Using Rule's of Logarithm

Q: If loga 2 = 0.41loga 3 = 0.64loga 5 = 0.94 loga(9a8) = ?

A: Compute the value of loga(9a8) as follows.

Q: If log, (4x + 3) = 4, then x = %3D You may enter the exact value or round to 4 decimal places.

A:

Q: Evaluate gradø if 9= log(x² + y² +z')

A: Consider that the gradient of a scalar function ∅x,y,z is given by, grad ∅ =i^∂∅∂x+j^∂∅∂y+ k^∂∅∂z…

Q: Use logarithms to solve. e2x – et – 56 = 0 -

A:

Q: Given that h(x) = log(x + 1) and f(x) = 2+ 10², find and simplify foh(æ)).

A: Composition of two function f(x) and g(x) is the process of making a new function h(x) such that the…

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

A: logba=1x  →1  &  logab=3x2  →2

Q: If log, (7x + 4) = 2, then x = You may enter the exact value or round to 4 decimal places.

A: Simplification

Q: If log(x + 3) = 2, then e2 = x + 3.Determine whether the statement is trueor false. If the statement…

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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: If log, (5x + 3) = 3, then x = You may enter the exact value or round to 4 decimal places.

A: