Question 1043030
solve 100(1.02)^x/4=200
Assume you mean
solve {{{100(1.02)^(x/4) = 200}}}
divide both sides by 100
{{{(1.02)^(x/4) = 2}}}
using nat logs
{{{ln(1.02)^(x/4))}}} = {{{ln(2)}}}
the log equiv of exponents
{{{x/4}}}ln(1.02) = ln(2)
divide both sides by ln(1.02)
{{{x/4}}} = {{{ln(2)/ln(1.02)}}}
using your calc
{{{x/4}}} = 35.0028
multiply both sides by 4
x = 140
:
:
replace x with 140 in the original problem, check with your calc