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Solve the problem down belowSimplify your answer and rounded to the nearest thousandth

Solve The Problem Down BelowSimplify Your Answer And Rounded To The Nearest Thousandth class=

Sagot :

We need to solve the following equation:

[tex]e^{0.006x}=26[/tex]

First, set both sides ln:

[tex]\ln e^{0.006x}=26[/tex]

We can down the exponents and simplify lne=1 :

[tex]0.006x=\ln26[/tex]

Now, divide both sides by 0.006:

[tex]\frac{0.006x}{0.006}=\frac{\ln26}{0.006}[/tex]

Simplify:

[tex]x=\frac{\ln(26)}{0.006}[/tex][tex]x=543.02[/tex]

Hence, the answer is x=543.02 (The answer is rounded to the nearest thousandth)