Logarithms

Method 2

Example 2

Solve the equation lonMethodEx2-1

Step 1. Use Power of a Power Property to convert to a single log.

logMethod2Ex2-2

Step 2. Use the inverse operation of exponents on both sides of the equals sign. Since the common log has a base of 10, use an exponential base of 10.

logMethod2Ex2-2

Step 3. Since logs and exponents are inverses, the exponent base and the log base cancel.

logMethod2ex2-4


Step 4 . Solve for x.

logMethod2Ex2-5