Outcome: C24, solve exponential and logarithmic equations

Originator:  Daniel & Alex

Explanation: To solve exponential equations  you must simplify the problem until you get to  where 

a=y intercept, b=common ratio, c= incramint of time needed to change by b, d=horizonal asymptote.

To solve for y, plug in numbers and solve.

To solve for a, set  and solve.

To solve for b,  f1 is first value given f2 is the second.

To solve for c,

To Solve for d,

To solve for x,

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 it 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