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MAVERICK [17]
3 years ago
10

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

Exact Form:

x=e^4

Decimal Form:

x=54.59815003

stiv31 [10]3 years ago
3 0

Answer:

The solution of the logarithmic equation is x=54.59  

Step-by-step explanation:

Given : Expression 4-3\ln x=-8        

To find : Solve the logarithmic equation?

Solution :    

Step 1 - Write the expression,

4-3\ln x=-8      

Step 2 - Subtract 4 both side,

4-4-3\ln x=-8-4      

-3\ln x=-12      

Step 3 - Divide by -3 both side,

\frac{-3\ln x}{-3}=\frac{-12}{-3}      

\ln x=4      

Step 4 - Taking exponential both side,

x=e^4  

x=54.59  

Therefore, The solution of the logarithmic equation is x=54.59  

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Answer:


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Step-by-step explanation:

The given question is \frac{x^2+x-2}{x^3-x^2+2x-2}


To solve the problem we have to group or split middle term and then factorise


\frac{x^2+(2x-x)-2}{(x^3-x^2)+(2x-2)}


Taking x^2 common from first two terms of denominator and 2 from next two terms


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Now cancel out x-1 from both numerator and denominator we get


=\frac {x+2}{x^2+2} is the required simplest form.



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