Answer the focus questions at the beginning of today’s lesson (reprinted below).  Show examples and use color or arrows to help explain your ideas.    What is a logarithm? How are logarithmic equations and exponential equations related to each other? How can we write an equivalent exponential equation for an equation that is in log form? How can we transform the graphs of log functions?

Q: What's the mathematical operation to compute for the pH or the pOH?  a. algebra b. calculus c.…

A: We know that the formula for calculation the pH and pOH is : pH=-logH+ ---(1) pOH=-logOH---(2) Here…

Q: Why do exponential functions and logarithms get such a bad rap? What is there about them that makes…

A: exponential function is a mathematical function,q mainly used to find the exponential decay or…

Q: . Symbolic representations a. What does a logarithmic function look like symbolically? Give a…

A: Let's consider an exponential function f(x) f(x)=eg(x)---1 where g(x) is another polynomial function…

Q: to expand the logarithmic expression as i (x²y)

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Q: Write the logarithmic equation y = In (8x) in exponential form. The equivalent exponential form is

A: logbx = y ⇒ by =x

Q: Solve the following exponential equation using logarithms: 75(1.08)" = 450

A: 1. The given exponential equation 751.08n=450. We have to solve the equation for n, using the…

Q: Evaluate log , (a3.5), if log , a= 3 and log , b = 8. HINT: Use Laws of Logarithms to expand the…

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Q: Convert this geometric equation to an exponential function. In = 10 - 2"-1

A: The standard equation of exponential function is given below: Use Quotient rule of exponent.

Q: Solve the logarithmic equation: log, (x + 6) + log,(x + 2) = 1

A: Definition used -                           logam+logan =loga(mn)                           If…

Q: 4. Write the following as a single logarithm. log, (x)- 2log, (3x')- log. (x') 5. When the…

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Q: Use the laws of logarithms for the following. Write the expression in terms of log x and log y. log.…

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Q: Change the exponential statement to an equivalent statement involving a logarithm. 2.3=3x is 0.…

A: The given equation is

Q: Here is the graph of a logarithmic function. yf 4 2 1 1000 2000 3000 4000

A: We can obtain this information from the graph itself. We explain how to obtain the information in…

Q: Rewrite each of the following equations: (Make sure to preview each answer) (a) Rewrite 4² = 16 as a…

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Q: What is the value of m in the equation m/0.5=-0.4

A: Consider the given equation. m0.5=-0.4 The objective of the problem is to find the value of m in the…