Question 1061943

Solve the exponential equation by expressing each side as a power of the same base and then equating exponents. 

((x-6))/(8^(10))=\sqrt(8)
<pre>{{{(x - 6)/8^10 = sqrt(8)}}}
{{{(x - 6)/8^10 = matrix(2,1, " ", 8^(1/2))}}} ------ Changing {{{matrix(1,3, sqrt(8), to, matrix(2,1, " ", 8^(1/2)))}}}
{{{x - 6 = 8^10 * matrix(2,1, "", 8^(1/2))}}} --- Cross-multiplying
{{{highlight_green(matrix(1,5, x - 6 = matrix(2,1, "", 8^(10 + 1/2)), "====>", x - 6 = 8^(21/2), "====>", highlight(x = matrix(2,1, "", 8^(21/2) + 6))))}}}