Recall the change-of-base formula. log,(x) log,(a) log,(x) =

Q: Determine the value of æ that satisfies the following equation. log, (x + 12) + log, (x+6) = 2

A:

Q: Rewrite log, V z, as a logarithmic expression with an argument of z.

A: The given expression is: logbz3

Q: Write log4 (x³ + 1) as a base e logarithm using a change-of- base formula. los tiel form log Solve…

A:

Q: (a) Rewrite as a logarithmic equation. e' =7 (b) Rewrite as an exponential equation. Inx=2

A: (a) Given: The equation ey=7, To find: The logarithmic equation of given exponential equation.

Q: Use the change of base formula and your calculator to approximate the logarithm. 20) log 21 8. 21)…

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

Q: Use common logarithms to solve for x in terms of y

A: Consider the given function as

Q: Find the numerical value of the log expression. log a = 4 log b = 4 log c = –4 a°6° log c5

A:

Q: Find the numerical value of the log expression. log a = 4 log b = 9 log c = 4 67 log a³c2

A: Given, loga = 4  logb = 9  logc = 4  We have to find numerical value of   logb7a3c2

Q: Rewrite the equation in exponential form.  log(v) = t

A:

Q: Find the numerical value of the log expression. log a = -3 log b = -4 log c = -4 log

A:

Q: Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions…

A:

Q: Solve for x.

A: (a)log3x=-1(b)log2x=-4

Q: What is the value of a in log, (x) - 3 = 1? 23 21 22 24

A:

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

A:

Q: Rewrite the logarithm as an exponential equation. In(x) = 4 O e =x* x = e* x = 4° e* = 4

A:

Q: Find the numerical value of the log expression. log a = -9 log b = 12 log c= -2

A: Logarithm basic rules:

Q: Find the numerical value of the log expression. log a = -5 log b = –5 log c = 6 a³b3 log c5

A:

Q: Rewrite the logarithm as an exponential equation. 2 = log, (x) 3 = x O 3* = 2 x = 4° x² = 3

A:

Q: Find the numerical value of the log expression. log a = -1 log b = -6 log c= 3 a? log b4 c4

A:

Q: Given y = log, 16. The value of y=

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

Q: Rewrite the following expression in terms of log a(2) and log a (5). log a (V80)

A:

Q: Find the numerical value of the log expression. log a = -6 log b = -6 log c = -1 %3D log

A:

Q: Find the numerical value of the log expression. log a = 2 log b = 2 log c = –1 %3D a*b? log c4

A:

Q: Solve the logarithmic equation: log, (x + 6) + log,(x + 2) = 1

A: Definition used -                           logam+logan =loga(mn)                           If…

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

A:

Q: Write the exponential equation as a logarithmic equation. xY = z

A: Properties of logarithmic function. loge mn= n loge m logax=logexlogea

Q: For Exercise. write the logarithmic expression as a single logarithm with coefficient 1, and…

A:

Q: Write the given logarithmic equation in exponential form. 14. If f (x) = log, x, find f(36), ƒ 1 and…

A:

Q: Write an equation for the transformed logarithm shown below f(x) - to

A:

Q: Find the numerical value of the log expression. log a = -5 log b = 10 log c = 4 log a?

A:

Q: Write the exponential equation as a logarithmic equation or vice versa           (a) log3 1/9 = −2…

A: (a) Write the logarithmic equation log319=-2 as a exponential equation

Q: Use logarithms to find an exact solution to the equation below. e^0.09t = 29

A:

Q: Rewrite the logarithmic equation as an exponential equation. (Assume u > 0.) log, u = 2

A: The given logarithmic equation is log5u=2. The objective is to rewrite the logarithmic equation as…

Q: Condense the expression to the logarithm of a single quantity. log,t+3 log-(1 – t) - log-(7+ t) |

A:

Q: Rewrite the exponential equation as a logarithm. e* = 5 In(x) = 5 x = In(5) log, 5 = e log, (e) =x

A:

Q: Find the numerical value of the log expression. log a = 2 log b = -5 log c = 4 log a b3

A: The explanation of answer as follows

Q: Find the numerical value of the log expression. log a == 2 log b = -5 log c = 4 log And

A:

Q: Find the numerical value of the log expression. log a = 8 log b = 8 log c = 10 a c4 log

A: Given: log a = 8, log b = 8 , log c = 10 and the expression is loga8c4b5

Q: c)hcx)-c*+ e - log: ()

A:

Q: Find the numerical value of the log expression. log a = 4 log b = 9 log c = 4 a%3D b7 log a c2

A:

Q: For Exercise, write the logarithmic expression as a single logarithm with coefficient 1, and…

A: 6log2a-4log2b+23log2c

Q: Find the numerical value of the log expression. log a = -4 log b = –12 log c = 8 %3D log

A: Given that                                          loga=-4, logb=-12, logc=8 we have to find value…

Q: Rewrite the expressions as a single logarithm. log,(x-3)-2 log, y- 3 log,(x+ 1)

A: Given query is to write the expression is single logarithmic expression.

Q: Complete the table by finding the appropriate logarithmic or exponent Logarithmic form Exponential…

A: The answer is given below:

Q: Rewrite e^−2.2=h as an equivalent logarithmic equation.

A: Given: h=e-2.2   To Find: write in logarithm form.

Q: 4 log a + y log

A: 4 log a +y  log c To condense the given express we apply logarithmic properties m log (a) = log…

Q: Write the given logarithmic equation in exponential form. 15. If f (x) = log, x, find f, f(256), and…

A:

Q: Convert the exponential equation 7 = x into a logarithmic equation in the form log, r y

A: Given exponential function :79=x

Q: Find the value of x given ()" = log,4" -2/3 125 %3D 64

A: We have to find the value of x

Q: Rewrite the following equation in logarithmic form using the natural logarithm (In). Hint: you will…

A: Given, x2 = 4  We have to write the above equation in logarithmic form using the natural logarithm.