Combine 5log, A +2 log,B - 3log2C as a single logarithm: (a) log; () (b) log, (***) (c) log:() (d) log;(5A +2B- 3C) B2 Select one: O (C) (b) (a) O (d)

Q: loo7 (3x)= log, (5x-8

A:

Q: 2 Write Vy in exponential form.

A: We have to write following term in exponential form.

Q: Explain why. a) log(100000) = 5 b) log,( – 16) = undefined

A:

Q: Express as a sum, difference, or multiple of logarithms. In (4x)³

A:

Q: When the expression log, (47) - log, (3), b > 1, is written in the form log, a, the value of a, to…

A: We need to find a.

Q: Use log, 4 2 1.262 and log3 10 - 2.096 to evaluate each logarithm. a. log3 40 2 b. log, 16 2 c. log3

A:

Q: Use the properties of logarithms to simplify the expression.

A:

Q: Express 6^-5= 1/7776 as a logarithmic expression

A: The logarithmic function is the inverse function of the exponential function. Some of the properties…

Q: Find so log,12-3-log,61-2) 2

A: We are given: 12log2t2 = 3 - log2(3t-2) We need to solve for 't'. This can be done as follows:

Q: Evaluate the expression log ∛10 without using a calculator. If evaluation is not possible, state the…

A: Known facts: logab=bloga log10=1

Q: Evaluate the expression log4 64 without using a calculator. If evaluation is not possible, state the…

A: Given expression is: log464 In logarithmic function we know that:…

Q: ab, 8) Simplify log2(-) 3

A:

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

A: Our Aim is to evaluate the expression given below:--13log3 27 -(i)

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

A:

Q: Evaluate log2 14 - log2 7 =?

A: Let's find.

Q: Write an expression equal to log, (5) + log,(6) using at most one log.

A:

Q: Use the definition of Exponential Notation to prove the Exponent Law that says: (x2)3 = x6

A: Please see the explanation below

Q: Evaluate the expression, log3(-9) without using a calculator. If evaluation is not possible, state…

A:

Q: Write an example that illustrates why (log, x)' + rlog, x.

A: Substitution of values of r, a, and x into the given equation helps to prove the given. Find such…

Q: Use the properties of logarithms to write expression as a sum, difference, or product of simpler…

A:

Q: ( 3vx log9 x²+9,

A: The expression is  log9 3xx2+9

Q: Expand the logarithmic expression. 57 log . 74 1 -log;57 + log74 2 1 - log,57 - - log,74 2 2 O log,…

A:

Q: Solve the equation.

A: Given that, log2x+3=log2x-3+log39+4log43

Q: Expand log6 (64x³[4x+1] ÷ 2x-1)

A:

Q: Expand log2 (2) as a sum and/or difference of logarithms without exponents.

A:

Q: Evaluate: (a) log, 9 + log64 (b) In (c) 10log, (b³) – 4 log,(b)

A: (a) Evaluate the expression log69+log64 as follows. log69+log64=log6(9×4)…

Q: Evaluate the expression log3(-9) without using a calculator. If evaluation is not possible, state…

A: Let the given value be y - y = log3-9Here, the solution to this problem is not possible because a…

Q: Expand log,() o bg(3)-log,(2) O be2)-log-(

A:

Q: log, 4 = log, ||

A:

Q: Evaluate: log,16- log,2 + log,4 *

A: Given log216-log22+log24

Q: 3 log, 2- 2log, 5

A: we need to learn basic logarithm formulae

Q: Simplify log, (x+ 4) – log, (a- 5) O log, 9 O log, (2x - 1) z+ 4 log4 I- 5 log, (2-z- 20) 2--20)

A:

Q: Solve. log, x + logo (x + 5) = 2 O x = -4, x = 9 O x = 4 O x = 9 O x = 4, x = -9

A: Use the properties of lograthim and form the equation into quadratic than Factories to solve.

Q: Which of the following are equivalent to log, (4)? Choose all that apply. O log, (24) – log,(6) log,…

A: We use logarithmic properties

Q: Expand the logarithimic expression.

A: To expand the logarithmic expression: log5x21-5x32x3-x Solution: Properties of logarithmic…

Q: 4. log,- log, 7 log,

A:

Q: express using a single log 2loga2 - logb - 2loga2b + 2logb

A: Using power rule and product rule for logarithmic expressions.

Q: Express log10 ( 1000x7 / y5 ) as a sum, difference, and/or multiple of logarithms. If possible,…

A:

Q: Use the Laws of Logarithms to evaluate the expression. (+9)'5이 들-

A: We can make it easier for you

Q: If log23=a and log72=b,what is log628 log23=a  log72=b  log628=?

A: Given that: a=log23, b=log72

Q: Evaluate: log, 343 + 2 log4 256, - log5 5

A:

Q: Use the properties of logarithms to rewrite the expression as a sum, difference, or multiple of…

A: As we know that: The logarithmic property: 1). lnab=lna-lnb 2). ln1=0 3). lna·b=lna+lnb Given: ln16

Q: Write in terms of simpler forms  logbM8

A: Given,

Q: Suppose log, 8 = 0.724 and log, 6 = 0.624. Find: () (a) log, 48 (b) log, 3 (c) log, 64

A:

Q: Express as a sum, difference, or multiple of logarithms. In 7x/

A: To write the below logarithmic expression as a sum, difference, or multiple of logarithms. ln7x3

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

A:

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

A: log(a) + log(b) = log(a×b)

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.