Question 1061943
Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.
Assuming the equation is:
{{{((x-6))/(8^(10)) = sqrt(8)}}}
multiply both sides by 8^10 
{{{(x - 6)8^-10 = sqrt(8)}}}
we can write the square root as an exponent
{{{(x - 6) * 8^-10 = 8^(1/2)}}}
divide both sides by 8^-10
{{{x - 6 = 8^(1/2)/8^-10}}}
which is
{{{x - 6 = 8^(1/2)*8^10}}}
add the exponents
{{{x - 6 = 8^10.5}}}
calculates to
x - 6 = 3037000500
x = 3037000506