Solve 9^2x = 66
x=_______?
Round answer to the nearest ten-thousandth place

Question

Solve 9^2x = 66
x=_______?
Round answer to the nearest ten-thousandth place

anonymous · Answer

please help

anonymous · Answer

9^2 is the same thing as $$9\times9$$
So it's 81x=66.

Now you need to solve for x by dividing 66 by 81.

66/81 = 0.8148148......
Now you need to round to the ten-thousandths place, which would be the second 8.
So x = 0.8148

anonymous · Answer

incorrect but thanks for trying

anonymous · Answer

i think i need to do something with log or ln

anonymous · Answer

Incorrect, hmm sorry then.

anonymous · Answer

Take a look at this: http://openstudy.com/study#/updates/5116c19ae4b0e554778bc9dd

solomonzelman · Answer

$$ 9^2x = 66$$$$81x = 66$$$$x=66/81~=~22/27$$OR$$9^{\Large\ 2x~} =~ 66$$$$\log~(~9^{\Large\ 2x~} ~)=\log~(~ 66)$$$$2x~\log~(~9 ~)=\log~(~ 66)$$$$2x~=\frac{\log66}{\log8}$$$$x~(\log~10^2)=\frac{\log66}{\log8}$$$$x~(\log~100)=\frac{\log66}{\log8}$$$$x=\frac{\log~66}{\log8 \times \log 100}$$then use the calclutor to count each log, and then count entire thing. There are many ways to d this problem.