**Outcome: C24,** solve exponential and logarithmic equations

**Originator:** Daniel & Alex

**Explanation:** To solve exponential equations .

Logarthiums are a nother way to solve for the value of x in a exponatial equation. Logs are used to solve for irrational ( numbers that can't be expressed as a fraction ex: )

answers for x. and there are three laws of logarthiums:

Log of a power,.

Log of a product,.

Log of a quotent,.

Logs are the inverse of exponents, much the same way as addition is the inverse of subtraction, division is the inverse of multiplecation, or roots are the inverse of powers.

To solve with logarthums we must re-wite the equation, This makes the exponential equation a logarithmic one.

The base stays the same but x and y (the argument and the solution) values swich. Once it is in a logarithmic equation and the base is not 10 you must make it 10, so you can

solve in a calculator (ex: Ti-83).

To make the logarithium base 10 u must use the change of base formula.

Note: If the base of the log is not given it is (base)10 so

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