Find the equation of the line l illustrated in the figure above, given that f(x)=10x and the point A is at x=log10(2). (Note: to enter the log base 10, log10(x), type logten(x).

Q: Given that log x= 4 and log y = 1.5 , find the value of log (x²y)

A:

Q: (a) log,(5x – 1) + 6 = 9 (b) 163x+1 = (4)*-1 %3D (c) In(x + 6) = In(11) – In(x – 4)

A:

Q: Given that log x -3 and log y = 5, find log Vy.

A: The given expression is logx2y35 and logx=3   and   logy=5

Q: Prove that In x lim I xP for any number p > 0. This shows that the logarithmic function approaches o…

A: Given

Q: The Gutenberg–Richter Law states that the number N of earthquakes per year worldwide of Richter…

A:

Q: Given that ln(5) = x and ln(7) = y, express the given logarithmic value in terms of x and y.…

A: Given that ln(5) = x and ln(7) = y. Use the property of the ln function

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

A: Logarithmic properties.

Q: given log10 x = 2 and log10 y = -1. show that xy-100y2 = 9

A:

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: If the logarithmic parent function, f(x) = log4(x) is vertically stretched by a factor of 8,…

A: We have to find resulting function.

Q: log(2² – 2y² – 4x²) In(2 – |2|) - g(x, y, z) = -

A:

Q: how do i condense this expression to a single logarithm? step by step please

A: The given logarithmic expression is

Q: Find the equation of the line ll illustrated in the figure above, given that f(x)=10xf(x)=10x and…

A:

Q: log10y+3log102=5 express y in terms of x

A: Consider the expression  log10y+3log102=5

Q: If log, (8) z 0.7 and log, (7) z 0.6, find the approximation of log,(448) =

A: Follow the procedure given below.

Q: 2. Given that x> 0, the value of x for which log, x + log,(6x + 1'0) = 1 is D

A:

Q: The graph of the function f(x)=log7(x) is stretched vertically by a factor of 4, shifted to the left…

A: Given: The given function is fx=log7x To find: Find the equation after fx is stretched vertically by…

Q: Solve the following equation for x. log2 (9x+6)=2+log2(x+3)

A:

Q: Express the given quantity as a single logarithm. 2)2 In(x 2)7In x - In(x2 +

A: Let the given expression is:

Q: 9. Condense (log4x – log4y)+2 log4(x+1) into a single logarithm with a coefficient of one.

A: Explanation of the answer is as follows

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

A: Given, log4x=-12

Q: Solve the following equation for x. log2(9x + 6) = 3 + log2(x + 3)

A:

Q: at any point h (1, 1) is logx – x

A:

Q: Determine the numerical value of the following expression without the use of a calculator: *+ log2…

A: Consider the provided expression,

Q: express the following as a single logarithm ln x+ a ln y - b ln z

A:

Q: Solve the following equation for x: log3(ln(x)) = 2.

A:

Q: Find the largest value of x that satisfies: log, (22) – log2(x +1) = 2

A:

Q: 5. (a) Solve for x, if log1o(10x + 20)- log10(2x-6) = 1 (b) Given that log10 7 = 1.473, find without…

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√2

A: Solution:- the given term is A=ln(32) as we know that  ln(m×n)=lnm+lnnand ln(a)b=bln(a)

Q: Given that logp q = x 2 and logq p = 1 2x−1 , find x

A:

Q: Suppose we know that log(x) = 6.2. Find the following values. (a) log(10x) (b) log(1000x) (c) logi…

A:

Q: A person places $419 in an investment account earning an annual rate of 9.2%, compounded…

A: Given that P= principal initially invested=$419 annual rate = r =9.2%=0.092 Time=t =20 years find…

Q: 2. Express the indicated logarithm in terms of a, b and c with the assumptions that log 2 = a, log 3…

A: To express the indicates logarithms in terms of a,b and c.

Q: log2 28

A: We have to express the logarithm in logarithm with base 10 and solve

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: Find the equation of the curve y=g(x)=ax+b, which osculates with the graph of the logarithmic…

A:

Q: Use the Laws of Logarithms to expand the quantity.

A: Use the Laws of Logarithms to expand the quantity.

Q: 1 log 3 27 |

A: To find : logx127=-34

Q: (b) Find the value of x: log ; x - log ; Vx = log 9- log ; 3

A: Basic concepts: remember these properties:

Q: Solve the following equation for x. log2(12x + 10) = 3 + log2(x + 2)

A: To solve the given equation for x.

Q: Just as exponential functions are distinguished by their rapid rate of increase, the logarithm…

A: Consider the graph:

Q: b) Find the value of x that satisfies log(x+3)− log x = log x+log 2.

A: Follow the procedure given below.

Q: Given that log x=2.5 and log y = 4 , find the value of log (yx)

A:

Q: Express the following logarithms in terms of ln 2 and ln 3. ln 3√9

A: To express:  ln 3√9 in terms of  ln 2 and ln 3.

Q: Find the equation of the line l illustrated in the figure above, given that f(x) = 10" and the point…

A: First of all we will find the coordinates of the two points where this line intersect with the…

Q: Evaluate the base (3-4i) logarithm of 10e^2.05i. Express your answer in a rectangular form in 4…

A:

Q: A person places $1690 in an investment account earning an annual rate of 7.2%, compounded…

A: Given that: P = the principal initially invested = $1690 r=the rate of interest=7.2%=0.072 t=time=8…

Q: A person places $123 in an investment account earning an annual rate of 2.8%, compounded…

A: Explanation and solutions is given below....