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Chapter 10: Q. 214 (page 1035)

Explain how to change an equation from logarithmic form to exponential form.

Short Answer

Expert verified

A logarithmic equation of the form logay=xis changed into an exponential form

as ax=y.

Step by step solution

01

Step 1. Definitions

The function f(x)=logaxis the logarithmic function with base a, where a>0, x>0, and a鈮�1.

The equation localid="1645014952143" y=logaxis equivalent to

x=ay.

02

Step 2. Writing logarithmic equations into exponential equations

The logarithm function with base ato be the inverse of the exponential function f(x)=ax.

In logarithmic form it can be said that exponent is equal to logarithm of base that is x=logay.

And in exponential form base power exponent is the base of the logarithm so we get ax=y.

To convert logarithm to exponential form you may want to repeat, 鈥渂ase to the exponent give us the number.鈥�

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Most popular questions from this chapter

In the following exercises, solve each equation.

ex2e3=e2x

Graph: f(x)=(14)x

Graph: g(x)=5x

In the following exercises, graph each logarithmic function.

y=log7x

In the following exercises, determine whether or not the given functions are inverses.
f(x)=x+8andg(x)=x-8
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