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irakobra [83]
3 years ago
15

Solve the inequality graphically. 6^x<3^x

History
2 answers:
satela [25.4K]3 years ago
9 0

Answer:

D edge

Explanation:

Artemon [7]3 years ago
7 0

Create equivalent expressions in the equation that all have equal bases, then solve for  x.

x<0

Let's solve your inequality step-by-step:

6^x<3^x


Let's find the critical points of the inequality.


6^x=3^x


Solve Exponent.


6^x=3^x


log(6^x)=log(3^x) (Take log of both sides)


x*(log(6))=x*(log(3))


x=(log(3)/log(6))*(x)


x=0.613147*x


x=0.613147x (Simplify both sides of the equation)


x−0.613147x=0.613147x−0.613147x (Subtract 0.613147x from both sides)


0.386853x=0


0.386853x/0.386853=0/0.386853  (Divide both sides by 0.386853)


x=0


Critical points:


x=0


Check intervals in between critical points. (Test values in the intervals to see if they work.)


x<0 (Works in original inequality)


x>0 (Doesn't work in original inequality)


Answer:


x<0


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