Question 206034
Solve for x:
{{{ln(sqrt(x))-3 = 1}}} Add 3 to both sides of the equation.
{{{ln(sqrt(x)) = 4}}} Write the square root in its exponential form.
{{{ln((x)^(1/2)) = 4}}} Now apply the power rule for logarithms:{{{Log[b](M)^p = p*Log[b](M)}}}
{{{(1/2)ln(x) = 4}}} Multiply both sides by 2.
{{{ln(x) = 8}}} Write this in its exponential form:{{{Log[b](x) = y}}} means {{{b^y = x}}}
{{{e^8 = x}}} so...
{{{highlight(x = 2981)}}}Approximately.