Properties
Change of Base Property
Example
Solve the equation:
Step 1. If it is not possible to create a common base, use the inverse function (logs). When applying inverses to an equation, do the same operation on both sides of the equals sign.
Step 2.Use properties of logs to eliminate the exponent.
Use the Power to a Power Property to multiply the exponent (x) by the exponent (
)
Step 3.Solve for x.
Use the Change of Base Property & divide.
Step 2.
Use the Power to a Power Property to multiply the exponent (x) by the exponent (
) Step 3.
Use the Change of Base Property & divide.
x = 4.755 (using a calculator)
Therefore, 