4. Solve the following equation: a. e* + e-* = 2 b. 2 log () – 3 = log(10x²y) %3D

Q: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

A:

Q: Solve the following: 1. 2x/2-16=1/32 2. log8 (x-2) + (log8(x)=1

A: Explanation of the answer is as follows

Q: Solve the following logarithm problem for the positive solution for x. 1 logr 9. 23

A: Logarithmic properties.

Q: Solve the following: 2x-6 = 1            8   log5 (x+3)=1-log5 (x-1)

A: Using definition & rules of logarithm.

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: Solve the following equations. 7+2 ln x = 6 log, (x+1) = 2 log, (2x – 3) = 3 4 In(3.x) = 8

A:

Q: 1. Solve the following equations a. 4x + 3 = 210 b. 7x - 1 = 3 c. log(8x -15) - log3 = log(2x +…

A: Part a,Given,          4x+3=210

Q: The following shows Bisola's work in solving the equation. What is Bisola's error, any? if Step 1:…

A: Solve the equation.     253x+15=5

Q: Solve the following: 1 (ii) log, (x+3) =1-log,(x-1) r-6 (i) 2" 8.

A:

Q: Solve the following: (i) 2ᵡ-⁶ = ⅛   (ii)  log₅ (x + 3) =1− log₅ (x -1)

A:

Q: 17. Without using a calculator, solve each of the following: |4*+3 V 16* log, (x+3)+ log, (x-3)=2 b.…

A:

Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: (1) solve the following  i) 2x/2-16  = 1/32  ii)  log8 (x-2) log8 (x )= 1

A: We have to solve and finding the value of x  Here using logarithmic properties

Q: Find the root of the equation x log10X=4.77by newton-Raphson method, correct to two decimal places.

A: The root of the transcendental equation f(x)=0 is defined as the value of x that satisfy the…

Q: Solve the following logarithm problem for the positive solution for x. 1 log, x = 2

A: Given, log4x=-12

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – In x – In(x + 5) = 0 (b) 81–x = 4x+2 (c) 22x + 2×…

A:

Q: Solve for r: log(z) + log(z + 4) = 5

A:

Q: A Solve the following (i) 4+e2x = 12 %3D (ii) 3 log (x+4) = -2.2

A: The given equations are I) 4 + e2x =12 II) 3 log(x +4) = - 2.2

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

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

Q: 10. How long will it take you to reach $4000 compounded continuously if you invested the $5200 at…

A: A=$5200, P=$4000, r=4.7%=0.047

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: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3(Z + 5)x2 + 4(Z…

A:

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

A:

Q: 1. Solve for the following for x: Log6(x+2) = 2

A: We have to solve

Q: 8. Without solving the equation, state the restrictions on the variable x in the following: log(2x -…

A: .

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: 12. Solve the following equation * 3 poin log, x + log, (x -9)= 2 O 12 О 3, 12 О з 8. O -8 O -2, 8 O…

A: We use the formula logam + logan = loga(mn) logab = c    →  b = ac

Q: 1. On your calculators, compute the following: e-18 log 6 =0778IS 12004 loga 6 = 2.4ansoi %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Solve the following equations. log, (2.x – 3) = 3 4 In(3.x) = 8 log x = log(1-x)

A:

Q: (b) 8[log(2-j3)]e

A:

Q: d) log2 (2x2 – 5) = 3.65

A: To Solve the equation for all real values of x Given the equation  log22x2-5 = 3.65

Q: The solution of the logarithmic equation log z + log(x + 5) = log 24 is 3. 11 O16

A:

Q: Solve the following equation for X log(x+2) + log(x-1)= 1

A:

Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

A:

Q: Express the following logarithms in terms of ln 5 and ln 7. ln 9.8

A: The given expression is ln 9.8

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: 2. i) Now, on your calculators, compute the following: e-24 = log2 3 =

A:

Q: solve the following  i).  2x/2-16 = 1/3   II). log8 (x-2) + log8 (x)=1

A:

Q: Solve the following logarithmic inequalities. 1. log5x 2 3. log273 > x 4. log2(5x + 7) > 5 5.…

A:

Q: If a population grows exponentially at a rate r, the time it will take for the population to double…

A: We can derive the formula for the time it will take for the population to double using the basic…

Q: Suppose an Egyptian mummy is discovered in which the amount of carbon-14 present is only about…

A:

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A:

Q: 8. Solve. Give EXACT answers only- (a) e**1 = ! %3D (b) 3log2(x – 1) = 5 – log24

A:

Q: 1の4--9 aub FVAM ATを l0gb logA 164 こ てレフ)

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln (4 / 9)

A: Given logarithm ln49 The objective is to expression the logarithm in term of  ln (2) and ln(3)

Q: solve the following 1) 42x-1 =64 2) In 3 - In x - In (x + 5)=0 3) log4 (x + 2) - log4 ( x - 1)=1

A:

Q: Solve the following equations: (a) log x 2 = log(x + 4) (b) 4 3x−1 = 72x+3

A: (a) We have to solve logx2=logx+4 Use logarithmic property logm=logn⇒m=n Hence,…

Q: Solve the following equation for x. log(4x+170) = 2

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.