Question 190331
Do you mean like this?
{{{6^((x-3)/4) = sqrt(6)}}}
 The base on each side is 6.
The {{{sqrt(6)}}} can be expressed with an exponent as {{{6^(1/2)}}} so we have...
{{{6^((x-3)/4) = 6^(1/2)}}} Now because the bases (6) are equal, then the exponents are equal, so...
{{{(x-3)/4 = 1/2}}} To solve for x, multiply both sides by 4.
{{{x-3 = 4/2}}} Add 3 to both sides.
{{{x = 2+3}}}
{{{highlight(x = 5)}}}