The value of x will be equal to 2.477.
<h3>What is a logarithm?</h3>
The logarithm is the inverse function of exponentiation in mathematics. That is, the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised in order to obtain that number x.
The given expression will be solved as follows;-

Taking Log on both sides.

(x-2) Log5 = Log 8
( x-2) = Log8 / Log 5
(x - 2) = Log 8 - Log 5
(x - 2 ) = Log 3
x-2 = 0.477
x = 2.477
Therefore the value of x will be equal to 2.477.
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Answer:
a.) 32 miles per gallon
divide by two to get one gallon
b.) She can go 32 miles on one gallon
use the info from part a
c.) 384 miles
multiply 32 by 12 to get 12 gallons