Question 234094
solve for x:
{{{59.2=42.5(1.64)^x}}}
So first we divide both sides by 42.5
{{{1.39=(1.64)^x}}}
Now we will take ln of both sides. This helps because there is a property of logarithms that says the following {{{ln(a)^b=bln(a)}}} In english it basically allows you to take the exponent outside the logarithm.
So applying this to our equation gives us.
{{{ln(1.39)=ln(1.64)^x}}}
Now I will move the x outside.
{{{ln(1.39)=xln(1.64)}}}
Now all that is left is to divide both sides by {{{ln(1.64)}}}
{{{(ln(1.39)/ln(1.64))=x}}}
Using a calculator you can get a decimal value of.
{{{x=0.666}}}