Logarithmic and Exponential Equations Practice: Transforming Forms and Evaluating Expressions

Dec 18, 2025

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This practice section focuses on converting equations between logarithmic and exponential forms. You will learn to write the equations in logarithmic form, as well as how to revert them to exponential form. Additionally, you will evaluate logarithmic expressions, expand and condense logarithms, and practice evaluating various mathematical expressions. This comprehensive exercise helps solidify your understanding of logarithms and their applications in mathematics.

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Logarithmic and Exponential Equations Practice: Transforming Forms and Evaluating Expressions

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Section 7.3-7.4 Practice
Write the equation in logarithmic form. 64 = 43
Write the equation in logarithmic form.
Write the equation in logarithmic form.
Write the equation in exponential form.
Write the equation in exponential form.
Write the equation in exponential form.
Evaluate each logarithm
Evaluate each logarithm
Evaluate each logarithm
Expand each logarithm.
Expand each logarithm.
Expand each logarithm.
Condense each logarithm.
Condense each logarithm. 3 log x + 4 log x
Condense each logarithm.
Evaluate each expression.
Evaluate each expression.
Evaluate each expression.
Evaluate each expression.

Section 7.4

Section 7.4. Trigonometric Functions of General Angles.

410 views • 8 slides

Introduction to Probability Section 7.3, 7.4, 7.5

Introduction to Probability Section 7.3, 7.4, 7.5. presented by E. G. Gascon . Introduction to Probability Section 7.3. Vocabulary & Examples . Sample Space. The set of ALL possible outcomes for an experiment is the sample space. (This will make up the denominator of a probability).

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7.1 7.2 7.3 7.4

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Section 7.3

Section 7.3. Hypothesis Testing for the Mean (Small Samples). Section 7.3 Objectives. Find critical values in a t -distribution Use the t -test to test a mean μ Use technology to find P -values and use them with a t -test to test a mean μ. Finding Critical Values in a t -Distribution.

294 views • 15 slides

Section 7.3

Section 7.3. Areas Under Any Normal Curve. To Work with Any Normal Distributions. Convert x values to z values using the formula:. Then use Table 3 of the Appendix to find corresponding areas and probabilities. Rounding.

335 views • 21 slides

Section 7.3

Section 7.3. Representing relations (part 1: matrices). Representing relations. We have already seen that relations between finite sets can be represented using lists of ordered pairs To represent relations in computer programs, zero-one matrices are usually employed

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Section 7.4

Section 7.4. Hypothesis Testing for Proportions. Larson/Farber 4th ed. Section 7.4 Objectives. Use the z -test to test a population proportion p. Larson/Farber 4th ed. z -Test for a Population Proportion. z -Test for a Population Proportion

248 views • 11 slides

Section 7.4

Section 7.4. How Do We Choose the Sample Size for a Study?. How are the Sample Sizes Determined in Polls?. It depends on how much precision is needed as measured by the margin of error The smaller the margin of error, the larger the sample size must be.

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Topics: 3.5, 7.3 & 7.4

Topics: 3.5, 7.3 & 7.4. PROTEIN SYNTHESIS Cells require proteins to carry out activities Enzymes, tranport oxygen, carbon dioxide Cells must produce these proteins when required  PROTEIN SYNTHESIS. Vernon Ingram 3.5.5 One Gene - One Polypeptide Hypothesis.

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Section 7.4

Section 7.4. Hypothesis Testing for Proportions. Section 7.4 Objectives. Use the z -test to test a population proportion p. z -Test for a Population Proportion. z -Test for a Population Proportion A statistical test for a population proportion.

222 views • 10 slides

Section 7.4

Section 7.4 . Regular Polygons. A little review. What is a polygon? An enclosed figure that has at least three sides, all of which are segments What is the formula for the number of diagonals of a polygon?. Some more review.

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Section 7.4

Cash Discounts ~ Other Dating Methods. Section 7.4. End of Month Dating. End of Month = EOM = Proximo = Prox. i.e… 3/10 EOM and 3/10 prox Both mean that 3% may be taken as cash discount if the payment is made by the 10 th day of the following month. (10 days from the end of the month!).

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7.3 and 7.4 Extra Practice

THIS REVIEW IS ON MY TEACHER WEB PAGE!!!. 7.3 and 7.4 Extra Practice. 7.3-7.4 Quiz: TOMORROW. Section 7.3. Find the mean, median, and mode of the data set 12, 15, 17, 11, 8, 14, 7, 14 x = 12.25, Median = 13, Mode = 14 0.3, 8.9, 7.6, 3.7, 1.5, 4.2, 7.6, 8.1

191 views • 8 slides

Section 7.4

Section 7.4. Slope-Intercept and Point-Slope Forms of a Linear Equation. SLOPE-INTERCEPT FORM. y = mx + b m represents the SLOPE (rise/run) b represents the Y-INTERCEPT –> (0, b). Given the equation, state the slope and the y- intecept :. 1. y = -x + 5 2. 3x + y = 4

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SECTION 7.4

SECTION 7.4. ARC LENGTH. Definition 1. Thus, we define the length L of the curve C with equation y = f ( x ) , a ≤ x ≤ b, as the limit of the lengths of these inscribed polygons (if the limit exists):. THE ARC LENGTH FORMULA.

358 views • 18 slides

Section 7.4*

Section 7.4*. General Logarithmic and Exponential Functions. GENERAL EXPONENTIAL FUNCTIONS. Definition : If a > 0, we define the general exponential function with base a by f ( x ) = a x = e x ln a for all real numbers x. NOTES ON f ( x ) = a x.

150 views • 12 slides

Section 7.3

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Section 7.3

Section 7.3. Names and Formulas For Ionic Compounds. Naming Compounds. Name of a student _________ _________ first last Name of an ionic compound sodium chloride Which substance lost electrons? Which substance gained electrons?.

325 views • 30 slides

Section 7.4

115 views • 9 slides

Section 7.3

Section 7.3. Hypothesis Testing for the Mean (Small Samples). Similar to section 7.2…. When the distribution is normal (or nearly normal), n < 30 or σ is unknown. Use the t-distribution table: Degrees of freedom: d.f. = n – 1. EX: find critical value, t 0.

153 views • 13 slides

Lesson 7.3 & 7.4

Triangle Inequalities. Lesson 7.3 & 7.4. Objectives. Determine if a set of values can form a triangle. Determine the range of value for the 3 rd side. Determine the order of line segments or angle measurements. B. °. 89. °. C. 54. °. 37. A. Triangle Inequality.

191 views • 13 slides

More Related

Logarithmic and Exponential Equations Practice: Transforming Forms and Evaluating Expressions

Logarithmic and Exponential Equations Practice: Transforming Forms and Evaluating Expressions

Presentation Transcript

Section 7.4

Introduction to Probability Section 7.3, 7.4, 7.5

7.1 7.2 7.3 7.4

Section 7.3

Section 7.3

Section 7.3

Section 7.4

Section 7.4

Topics: 3.5, 7.3 &amp; 7.4

Section 7.4

Section 7.4

Section 7.4

7.3 and 7.4 Extra Practice

Section 7.4

SECTION 7.4

Section 7.4*

Section 7.3

Section 7.3

Section 7.4

Section 7.3

Lesson 7.3 &amp; 7.4

Topics: 3.5, 7.3 & 7.4

Lesson 7.3 & 7.4