Question 71142
Solve for x:
{{{4ln(x)-ln(2) = ln(128)}}} Apply the power rule {{{n*ln(x) = ln(x^n)}}} to the first term:
{{{ln(x^4)-ln(2) = ln(128)}}} Now apply the quotient rule for logarithms to the left side.
{{{ln(x^4/2) = ln(128)}}} Remembering that If{{{M = N}}}then{{{ln(M) = ln(N)}}}, you can write:
{{{(x^4)/2 = 128}}} Multiply both sides by 2.
{{{x^4 = 256}}} Take the 4th root of both sides.
{{{x = 4}}}