Question 1006800
We will use these log rules



Rule 1) {{{Ln(x^y)=y*Ln(x)}}}



Rule 2) {{{Ln(e)=1}}}



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{{{9e^x=28}}}



{{{(9e^x)/9=28/9}}} Divide both sides by 9



{{{e^x=28/9}}}



{{{Ln(e^x)=Ln(28/9)}}} Apply natural logs to both sides



{{{x*Ln(e)=Ln(28/9)}}} Use rule 1 (see above)



{{{x*1=Ln(28/9)}}} Use rule 2 (see above). 



{{{x=Ln(28/9)}}} This is the exact answer in terms of natural logs.



{{{x=1.13497993283899}}} Use a calculator to compute <font color=blue>Ln(28/9)</font>



{{{x=1.13}}} Round to two decimal places