Question

Use complete sentences to explain the process of converting a logarithmic equation to its equivalent exponential form to obtain solutions to the graph of the logarithmic equation.

Answer 1

To convert a logarithmic equation to its equivalent exponential form : We must first state the definition of log :

For x > 0 and b > 0 , b ≠ 1 ,

`y=\log _b x\text{ is equivalent to }b^y=x`

Now, follow these steps to convert logarithmic to exponential function :

1. To change from logarithmic form to exponential form, first identify the base of the logarithmic equation.
2. Now, After moving the base the current variable or number changes to the exponent.
3. Do not move anything but only the bases so that the other number or variables will not change sides .
4. Hence, The log function will be removed.

Answer 2

Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:


`log _(b)x = y`,

then invert to show it equivalent form:


`x= b^(y)`.

With that you have solved the equation for x.