How is the logarithmic function y = log,(x) defined? %3D It is defined as the inverse of the exponential function with base b, that is, log,(x) = y - x=

Q: Write the expression as a logarithm of a single quantity.                              1/3[2 ln(x +…

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Q: Use logarithms to solve the problem. Find the interest rate needed for an investment of $4700 to…

A: Initial amount= P= 4700 Final amount=A=double of 4700= 2(4700)=9400 Time=t=3 years Interest rate= r…

Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 4 1.3863 and…

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

A: Consider the given function as

Q: log(x-20)-10g(8) = (og(x-l2)-109(x)

A: We will solve the equation.

Q: . How is the graph of log x related to the graph of ln x?

A: Here , ln x represents the natural logarithm where its base is e whereas the base of log x is 10 .…

Q: Find the solution of the exponential equation e2z +1 = 7 in terms of logarithms, or correct to four…

A: Given exponential equation, e2x+1=7

Q: log, (x-5)+log,(x+3) =1

A: To find log9(x-5)+log9(x+3)=1

Q: Use the properties of logarithms to write ln√x/x−1 as a sum or difference of simple logarithmic…

A: Given

Q: 2) Match the logarithmic expressions to equivalent expressions and state the property or process to…

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Q: Y = log, (x-s) 3.

A: As we know from the logarithmic property; If logba=c;  b>0,b≠1,a≠0 then bc=a

Q: What is an exponential function and a logarithmic function?

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Q: What will be the value of x for given logarithmic equation 10ln(x2-10)+2=8?

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Q: How is the logarithmic function f(x) = log₂ (x) related to the exponential function g(x) = 2*? of…

A: The logarithmic function is fx=log2x related to the exponential function gx=2x. Inverse function of…

Q: how is  (a^loga(y))^c the same as y^c? (image)

A: Given that a statement  ac.loga(y)=alogayc=yc Prove the given statement.   The formula used are the…

Q: The inverse of an exponential function is a logarithmic function

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Q: What is a logarithmic function? What properties does it satisfy? What is the natural logarithm…

A: Logarithm Function:A Logarithm is simply an exponent that can be written in different way.For…

Q: Solve the logarithmic equation for x. 6 ln(4 − x) = 5

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Q: Find the solution of the exponential equation 1000(1.04) = 500, 000 in terms of logarithms, or…

A: given 10001.042t=500,000

Q: How is the graph of loga x related to the graph of ln x? What truth is in the statement that there…

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Q: Find the solution of the exponential equation 15e^x−13=6 in terms of logarithms, or correct to four…

A: We have to solve

Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: What are the differences between linear quadratic exponential and logarithmic functions?

A: differences between linear quadratic exponential and logarithmic functions

Q: Write the expression as a logarithm of a single quantity.                               2[ln x −…

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Q: log7 X y =(√x) ¹087

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Q: what will be the value of x for the given logarithmic equation 10ln(x2-10)+2=8?

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Q: Find the solution of the exponential equation 2t 100(1.04) = 5, 000 in terms of logarithms, or…

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Q: Solve the logarithmic equation. log 2(x + 6) = 1 - log 2(x+ 5)

A: Given :

Q: In other words, if y = bª, express x in terms of y.

A: given y=bxwe need to express  x in terms of y we use the following property  lnab  =   b lnalogab…

Q: The exponential function describing the quantity of caffeine remaining in a person's body, Q , t…

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Q: Find the Value of x in the Logarithmic Functions : log; (x2 + 16x +1) = 4 %3D

A: We will apply antilog on both sides to solve this equation

Q: Write the expression as a logarithm of a single quantity.…

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Q: What is the exponential form of log2(x) = 5?

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Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 2 0.6931 and…

A: Given that - ln2 = 0.6931            ......................................1ln3 = 1.0986…

Q: Solve the logarithmic equation for the unknown x. log4(x + 1) – log4(x – 1) = 3 |

A: Given : log4x+1 -log4x-1 =3

Q: How is the graph of logax related to the graph of ln x? What truth is in the statement that there is…

A: To show the graph of logax related to the graph of lnx, let provide some notes on the function ax…

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

Q: Exponential 1.f (x) = 23x-6, when x = -1 3x+2 .1 2.f (x) = (-) x-7, when x = 2 Logarithmic 3.f (x) =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: What is the value (if any) of the following? log x as x--> 0+  log x-->

A: We first graph y=log x

Q: Use the properties of natural logarithms to simplify the function. f(x) = ln(e7x) − 3x − ln(1)

A: Given:

Q: (a) Find the exact solution of the exponential equation in terms of logarithms. (b) Use a calculator…

A: The given equation is 23x+1=3x-2

Q: log x = 2

A: We have to solve the given equation for x.…

Q: log(x) - log(7z) log

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Q: 8. Solve the logarithmic equation for x: log, (4- x) = 7 (1) x = 2191 (2) x = 2183 (3) x = -2191 (4)…

A: We have to solve the logarithmic equation  log34-x = 7.

Q: Use the properties of logarithms to approximate the indicated logarithms, given that ln 4 1.3863 and…

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Q: Acidity is measured on the pH scale. The acidity of a substance is given by pH=−logH, where H is the…

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Q: log10 Z -dr Select one: (Inz)² а. 2 (Inz)? b. In100 +c (Inz)² C. In10 +c (Inz) d. +c In100

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Q: What are the steps involved in this problem? log (x-10) - log (x-6) = log 2

A: Given as