SOLUTION: Solve and round to the nearest 1000th 8^(2x+9)-17=1233

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Question 964005: Solve and round to the nearest 1000th
8^(2x+9)-17=1233
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
8%5E%282x%2B9%29=1234%2B17
8%5E%282x%2B9%29=1251
log%2810%2C%288%5E%282x%2B9%29%29%29=log%2810%2C1251%29
%282x%2B9%29log%2810%2C8%29=log%2810%2C1251%29
2x%2B9=log%2810%2C1251%29%2Flog%2810%2C8%29
2x=-9%2Blog%2810%2C1251%29%2Flog%2810%2C8%29
highlight%28x=-9%2F2%2Blog%2810%2C1251%29%2F%282%28log%2810%2C8%29%29%29%29

Compute as you like.
Maybe use x=log%2810%2C1251%29%2F%28log%2810%2C64%29%29-9%2F2.
x=-2.7852, decimal approximation.