SOLUTION: {{{log(2,(48x^3))-log(2,(12x^2))=8}}} solve equation for x and round to nearest two decimal places.

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Question 267340: log%282%2C%2848x%5E3%29%29-log%282%2C%2812x%5E2%29%29=8
solve equation for x and round to nearest two decimal places.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
we start with
log%282%2C%2848x%5E3%29%29-log%282%2C%2812x%5E2%29%29=8
step 1 - subtraction of logs means divide the terms as
log%282%2C%2848x%5E3%29%2F%2812x%5E2%29%29=8
step 2 reduce the fraction to get
log%282%2C%284x%29%29=8
step 3 - rewrite using exponents as
2%5E8+=+4x
step 4 - divide to get
x+=+64