Question 54891
Find x if e^59x =8, and you are given ln 8=2.0794
{{{e^(59x)=8}}} Take the natural log of both sides
{{{ln(e^(59x))=ln(8)}}}  Because{{{highlight(ln(a^b)=bln(a))}}}
{{{(59x)ln(e)=ln(8)}}}   Because {{{highlight(ln(e)=1)}}}
{{{59x(1)=ln(8)}}}   
{{{59x=ln(8)}}}
{{{59x/59=ln(8)/59}}}
{{{x=ln(8)/59}}} Because ln(8)=2.0794
{{{x=2.0794/59}}}
{{{highlight(x=.035244)}}}
Happy Calculating!!!