10 ­ Solving Logarithmic Equations May 24.notebook
May 24, 2016
Solving Logarithmic Equations
1. Isolate the terms with variables on one side of the equation.
2. Use the laws of logarithms to express each side of the equation as a single logarithm.
3. Simplify each side of the equation.
4. Rewrite the equation in the equivalent exponential form if necessary.
5. Solve and check.
Ex. Solve the following logarithmic equations (to 4
decimal places if necessary)
a) log x = 3
10 ­ Solving Logarithmic Equations May 24.notebook
b) log4(x + 3) = 2
c) log7x + log73 = log724
May 24, 2016
10 ­ Solving Logarithmic Equations May 24.notebook
d) log2(x + 3) + log2(x + 1) = 3
Solving Other Logarithmic Equations
1. Solve the equation 22x - (5)2x - 6 = 0 by factoring to the
nearest thousandth where necessary.
May 24, 2016
10 ­ Solving Logarithmic Equations May 24.notebook
2. Solve the equation to the nearest thousandth.
log3x + log5x = 4
3. Solve. Leave answers in exact form.
May 24, 2016
10 ­ Solving Logarithmic Equations May 24.notebook
Homework
A ­ Pg. 375 #4,6,7,11b,d,f
B ­ Handout #13,21,22,23
(Keep rest of questions on handout for review for test)
May 24, 2016