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

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)

x<0

D edge

Explanation:

what are the options so i can answer it

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