Question 240900
Solve:
1) {{{e^x+7 = 98}}} or is it 
2) {{{e^(x+7) = 98}}}? 
If it's 1) then subtract 7 from both sides.
{{{e^x = 91}}} Take the natural log of both sides.
{{{ln(e^x) = ln(91)}}} Apply the power rule to the left side.
{{{xln(e) = ln(91)}}} Substitute {{{ln(e) = 1}}}
{{{x = ln(91)}}} Evaluate.
{{{x = 4.51}}}
Check:
{{{e^(4.51)+7 = 90.92+7}}}={{{97.92}}} almost 98.
If it's  2) then take the natural log of both sides.
{{{ln(e^(x+7)) = ln(98)}}} Apply the power rule to the left side.
{{{(x+7)ln(e) = ln(98)}}} Substitute {{{ln(e) = 1}}}
{{{x+7 = ln(98)}}} Evaluate the right side.
{{{x+7 = 4.58}}} Subtract 7 from both sides.
{{{x = -2.42}}}