Solving Log Equations
Presentation
•
Mathematics
•
9th - 12th Grade
•
Hard
Joseph Anderson
FREE Resource
4 Slides • 8 Questions
1
Solving Logarithmic Equations
2
Solving With Logs of BOTH Sides of =
Condense logs, if possible (Addition to Multiplication, Subtraction to Division)
Logs cancel each other out
Solve the remaining equation
3
Multiple Choice
Solve log2(2x - 3) = log2(4x + 5)
4
-4
-.33
.33
4
Multiple Choice
Solve: log7(28+3r)=log7(10r)
4
7
20
28
5
Multiple Choice
Solve: log3 (5) + log3(x) = log3(2) + log3(x + 9)
5
11
6
3
6
Solving with Logs on ONE Side of =
Condense logs, if possible (Addition to Multiplication, Subtraction to Division)
Isolate the log term (Add/Subtract, Divide by Coefficient)
Change to Exponential Form
Solve the Remaining Equation
7
Multiple Choice
log6(2x + 3) = 3
x = 106.5
x = 100
x = 16
x = 50
8
Multiple Choice
log3 (x-3) + 10 = 14
5
13
84
-20
9
Multiple Choice
10
Solving Exponentials for Missing Exponents
Isolate the exponential term (Add/Subtract, Divide by Coefficient)
Change to logarithmic form
Solve remaining equation (Change of Base Formula)
11
Multiple Choice
12
Multiple Choice
Solving Logarithmic Equations
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