Which exponential equation is equivalent to log, 4 = 6? Select the correct answer below: O * = 6 || O z6 = 4 O 4 = 6 O 46 = z O 6° = 4 64 = Z

Q: Solve, x2 log, x-1 = V2. Solve, x 23)

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Q: f. Evaluate log, V343

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Q: Solve. log,(3x – 4) = log:(x + 2)

A: To solve the given equation

Q: Expand : logs VZ 125 y?

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Q: Calculate the value of A 2log₂8-log₂4 = A A =

A: We have to calculate the value of the expression 2log28-log24.

Q: Express, in terms of a and b, log, 18 if a = log 3 and b = log 2.

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Q: Solve for x using log and power rules: (+) x = log₂

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Q: 2. Solve for x. a. log, 81 = 4 b. logs x = 3 C. logs 125 = x d. log, 10 = 4

A: Using logrithim  properties

Q: log, b* =

A: logbbx=____

Q: Given log2 A + log2 B = 5, calculate all the possible integer values of A and B. Explain your…

A: Note: for any a>0, b>0, c>01) loga(b)+loga(c)=loga(bc)2) If logab=c then b=ac

Q: It logge = - 3, og, y =1 Gnd Log,z =4, evaluate log 21 z²

A: Given: log3x=-3, log3y=1 & log3z=4 To evaluate: log381×9xy4z23 Solution: We know that,…

Q: log, 3 + log, 5 = log, 4. 4 4.

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Q: Determine the solutions of the equation log, x = 2 – log,(5 – x)

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Q: Express single logarithm and simplify: 4. as a 3 logą(a + b) + 2 log4(a+ b) – log4c, a +b > 0,c > 0

A: Let's find.

Q: Solve. log, x = 3 - log,(x - 2)

A: We know that, from the property of logarithm logam+logan=logamn           ⋯⋯1logab=c⇒ac=b        ⋯⋯2

Q: log, 5= 0 1 O 6 8. 0 7 O 5

A: To find

Q: Rewrite 4* = 64 as a logarithmic equation. O logx64 = 4 O log464 = x O log4x = 64 O log64x = 4

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Q: Evaluate the following expressions 5. log, 3

A: Evaluate the given expression.

Q: Solve. 4 log:(21 - 7) = 8

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Q: What is the value of log, 49?

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Q: Assume that u > 0 and v > 0. Express log,(u“ v°) as a sum of multiples of log(u) and loga(v). Write…

A: We have to find

Q: log, 7 + log, 3 log,] 8.

A: The solution of the problem is given in the next step.

Q: Which logarithm is equal to l0g,(6) + log,x Select one: O a. log,(8x) O b. log, (2x+ 6) O C. log, x…

A: Topic:- basic algebra

Q: approximate the logarithm using the properties of logarithms, given log, 2 = 0.3562, log, 3 =…

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Q: Select all expressions that are equivalent to log12(3) A log(-) log(3) log(12) In(3) In(12) Dlog(12)…

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Q: If loga (3x + 2) + log, 1= log, 8 then x= %3D Select one: Oa. 1 O b. 0 Oc. 2 d. 3

A: It is an important part of statistics. It is widely used.

Q: Let log, A = 3.420 and log, B = 0.357. Find log, AB.

A: The formula of logarithm is: logaxy=logax+logay According to the question, logb AB=logbA+logbB…

Q: In (7a - 3) — 5а?

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Q: Solve for x using properties of logs and exponents. Show your work using the Equation Editor tool. 3…

A: We have to slove above logarithm

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.