Question 70761
Solve for u:
{{{1+8(0.43)^(2u) = 3}}} Subtract 1 from both sides of the equation.
{{{8(0.43)^(2u) = 2}}} Next, divide both sides by 8.
{{{(0.43)^(2u) = 2/8}}} Simplify.
{{{(0.43)^(2u) = 0.25}}} Now apply the logarithms.
{{{Log(0.43)^(2u) = Log(0.25)}}} Apply the power rule for logarithms to the left side.
{{{2uLog(0.43) = Log(0.25)}}} Divide both sides by {{{Log(0.43)}}}
{{{2u = (Log(0.25))/Log(0.43)}}} Now divide both sides by 2.
{{{u = (1/2)((Log(0.25))/Log(0.43))}}} Evaluate the logs using your calculator or log tables.
{{{u = (1/2)(1.64)}}}
{{{u = 0.82}}} To the nearest hundredth.