Question 78560
{{{(1/8)^x=606}}}
Take the log of both sides of the equation:
{{{log((1/8)^x)=log(606)}}}
Use the exponent property of logarithms to simplify left side:
{{{xlog(1/8)=log(606)}}}
Use the division property of logarthms to further simplify left hand side:
{{{x(log(1)-log(8))=log(606)}}}
Recall that log(1)=0 and solve for x:
{{{x=-(log(606)/log(8))}}}
I'll let you plug that into a calculator to get a numerical value for x.

Good Luck,
tutor_paul@yahoo.com