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Solving Logs 2
The second of 4 skills relating to logarithms actuallydoes not require any logs at all.
If the bases are equal then the expressions mustbe equal.
The example below is a base "7" problem.

If log7(x) = log7(y) and since log7 = log7 then x = y.
Solving Logarithmic Equations
equal bases
equal
expressions
Since bases are equal, equate the expressions.
Example: When bases are equal.
-5x - 2 = 2x + 6
+5x       +5x
-2 = 7x + 6
-6           -6
-8 = 7x
equal bases
Solving Logarithmic Equations
-1.14 = x
-8 = 7x
7
7
equal
expressions
DONE!
Solve for k. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for x. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for x. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for p. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for k. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for x. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for a. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for r. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for n. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
Solve for b. Bases are equal, equate the powers.
What is the base ?
Answer: Round to hundredths             (ie. 2.34 or 0.63 or -2.00)
Solving Logarithmic Equations
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