Question 398807
Short answer: You don't.<br>
Subscripts are not often solved for unless you are working with sequences and/or series. Since you posted this under "Logarithms" I assume that this is not the case.<br>
Perhaps you are thinking of bases of logarithms. They look like subscripts. For example:
{{{log(x, (4)) = 3}}}
To solve for x where x is the base of a logarithm, you want the equation to be in a form like:
log(expression) = other-expression
If the equation is not in this form, then use Algebra and/or the properties of logarithms to transform the equation so it looks like the form above.<br>
Once the equation is in this form, then rewrite the equation in exponential form. In general, {{{log(a, (p)) = q}}} is equivalent to {{{p = a^q}}}.<br>
Once the equation is in exponential form the variable, which was in the base of the logarithm, is now a base with an exponent. This equation should be solvable.<br>
The example above, {{{log(x, (4)) = 3}}}, is already in the desired form. So we can proceed to rewriting the equation in exponential form:
{{{4 = x^3}}}
To solve this equation we just find the cube root of each side:
{{{root(3, 4) = root(3, x^3)}}}
which simplifies to:
{{{root(3, 4) = x}}}