Answer:
[tex]x=5[/tex]
Step-by-step explanation:
From the question we are told that
The logarithmic function [tex]y= 398-73 lnx[/tex]
Price p= $275
Generally we solve mathematically for the equation [tex]y= 398-73 lnx[/tex]
[tex]y= 398-73 lnx[/tex]
[tex]275= 398-73 lnx[/tex]
[tex]73 lnx=123[/tex]
[tex]lnx=\frac{123}{73}[/tex]
Therefore
[tex]x=e^(^\frac{123}{73}^)[/tex]
[tex]x=5.4[/tex]
Nearest whole number
[tex]x=5[/tex]
The number of required hand-held electric organizers would be 5, option b. Understand the step-by-step calculations below.
The logarithm is an exponent or power to which a base must be raised to obtain a given number.
Mathematically, logarithms are expressed as, m is the logarithm of n to the base b if [tex]bm = n[/tex], which can also be written as [tex]m = log_nb[/tex].
Given function is,
[tex]y=398-73 lnx[/tex]
Also, the cost is $275 then from the given equation,
[tex]398-73 lnx=275[/tex]
Now, solving the above equation we get,
[tex]398-73 lnx=275\\73ln=398-275\\lnx=\frac{123}{73}[/tex]
Now, shifting the algorithm into another side we get the exponential equation as,
[tex]\\x=e^{\frac{123}{73} }\\x=5.39\\x\approx5[/tex]
Learn more about the topic Logarithm here:
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