body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Pearson Algebra 2 Common Core, 2011

PA

Pearson Algebra 2 Common Core, 2011 View details

6. Natural Logarithms

Continue to next subchapter

Exercise 72 Page 483

Use the Properties of Logarithms to eliminate the exponent from the equation.

4

Practice makes perfect

We want to solve the exponential equation. When bases are not the same, we can solve it by taking the logarithm of each side of the equation. m=n ⇔ log m = log n Note that in order to take their logarithms, both m and n must be positive numbers. Let's now solve our equation.

3^(2x)=6561

log_()(LHS)=log_()(RHS)

log 3^(2x)= log 6561

log_()(a^m)= m* log_()(a)

2x log 3 = log 6561

.LHS /log 3.=.RHS /log 3.

2x=log 6561/log 3

Use a calculator

2x=8

.LHS /2.=.RHS /2.

x=4

Subchapter links

Lesson Check p.480

Practice and Problem-Solving Exercises p.481-483

Standardized Test Prep p.483

Mixed Review p.483