Keep in mind that "ln" is just a shortcut for the logarithm with a base of "e".

$\bf \textit{exponential form of a logarithm}\\\\
log_{{ a}}{{ ( b)}}=y \implies {{ a}}^y={{ b}}\qquad\qquad 
% exponential notation 2nd form
{{ a}}^y={{ b}}\implies log_{{ a}}{{(b)}}=y \\\\
-------------------------------\\\\
e^{4x}=5\implies log_e(5)=4x\implies ln(5)=4x$

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Glynn's car has a 18 gallon gas tank. He travels 450 miles. What is the least miles per gallon this trip? Write and solve an ine

Ratling [72]

The least miles per gallon this trip is 25 miles per gallon

<h3>How to determine the least miles per gallon?</h3>

The given parameters are:

Distance = 450 miles

Tank size = 18 gallons

The least miles per gallon this trip is calculated as:

Miles per gallon = Distance/Tank size

This gives

Miles per gallon = 450/18

Evaluate the quotient

Miles per gallon =25

Represent as an inequality

x >= 25

Hence, the least miles per gallon this trip is 25 miles per gallon