What is the first step you would take to solve this log equation? ln ⁡ ( 2 x ) = ln ⁡ ( 5 x + 8 ) \ln\left(2x\right)=\ln\left(5x+8\right) ln ( 2 x ) = ln ( 5 x + 8 )

Set 2 x = 5 x + 8 2x=5x+8 2 x = 5 x + 8

Topic 14 Test Review

Presentation

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Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Easy

•

CCSS

HSF.BF.B.5, HSF-BF.B.4A, 3.OA.B.5

Standards-aligned

Cheryl Fiske

Used 32+ times

FREE Resource

11 Slides • 11 Questions

Topic 14 Test Review

Exponetial and Log Review

Multiple Choice

The inverse of an exponential function is a...

absolute value function

quadratic function

logarithmic function

square root function

Multiple Choice

What is the base of the $\ln$ ?

Multiple Choice

What is the base of the common log?

Ex:

\log\left(5x\right)

Logarithmic Properties Review

Multiple Choice

To expand a logarithmic expression, you would...

write the word 'log' as many times as the number of parts needed.

write the word 'log' only one, single time.

Multiple Choice

To condense a logarithmic expression, you would...

write the word 'log' only one, single time.

write the word 'log' for as many times as the number of parts needed.

Fill in the Blanks

Fill in the Blank:

The Product Rule

Multiplication goes with

Type answer...

Fill in the Blanks

Fill in the Blank:

The Quotient Rule

Division goes with

Type answer...

Multiple Choice

The Power Rule

The power moves to the...

denominator

back

fraction

front

Solving Logarithmic Equations Review

A logarithmic equation is an equation containing a variable in a logarithmic expression.

Example: $\log_4\left(x+3\right)=2$

2 Methods to Solve Log Equations

Definition of a Log
Example: $\log_2\left(2x+7\right)=8$
One-to-One Property
Example: $\log_7\left(8x+8\right)=\log_7\left(9x\right)$

Multiple Choice

What is the first step you would take to solve this log equation?

\ln\left(2x\right)=\ln\left(5x+8\right)

Subtract one of the logs

Set $2x=5x+8$

Divide one of the logs

Added 'e' as a base

Multiple Choice

What is the first step you would take to solve this log equation?

\log_32x=4

Subtract 4

Convert to exponential

Subtract $\log_32x=4$

Divide by $2x$

Solving Exponential Equations Review

An exponential equation is an equation that includes a variable in an exponent.

Example: $2^{3x}=8$

Powers of the Same Base Method

Express each side as a power of the same base.
Set the powers equal to each other and solve for your variable.

Multiple Choice

Does the Powers of the Same Base method work every single time?

Yes

Use Logs to Solve Exponentials

Isolate the exponential expression
Take the log of each side
Simplify
Solve for your variable

Great Job!

Let's move on to the second part of our review!

Topic 14 Test Review

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