J JOSH BAR New member Joined Sep 29, 2009 Messages 36 Sep 29, 2009 #1 Use logarithms to solve the equation. (Round the answer to four decimal places.) 7(1.08^3x + 1) = 14 X=____ I thought the answer was 2.6667 but I was counted wrong. Any other answer?
Use logarithms to solve the equation. (Round the answer to four decimal places.) 7(1.08^3x + 1) = 14 X=____ I thought the answer was 2.6667 but I was counted wrong. Any other answer?
L Loren Senior Member Joined Aug 28, 2007 Messages 1,298 Sep 29, 2009 #2 As written "7(1.08^3x + 1) = 14" actually means \(\displaystyle 7(1.08^3 x + 1) = 14\). I think you mean 7(1.08^(3x) + 1) = 14 which means \(\displaystyle 7(1.08^{3x} + 1) = 14\). Or do you mean 7(1.08^(3x + 1)) = 14 which means \(\displaystyle 7(1.08^{3x + 1}) = 14\)? To be more specific you need to use parenthesis. Why don't you show us your work so we can see where you went wrong?
As written "7(1.08^3x + 1) = 14" actually means \(\displaystyle 7(1.08^3 x + 1) = 14\). I think you mean 7(1.08^(3x) + 1) = 14 which means \(\displaystyle 7(1.08^{3x} + 1) = 14\). Or do you mean 7(1.08^(3x + 1)) = 14 which means \(\displaystyle 7(1.08^{3x + 1}) = 14\)? To be more specific you need to use parenthesis. Why don't you show us your work so we can see where you went wrong?
J JOSH BAR New member Joined Sep 29, 2009 Messages 36 Sep 29, 2009 #3 I actually just figured it out. The answer is 2.6688. I was off on the rounding. Thanks for the help anyway.
I actually just figured it out. The answer is 2.6688. I was off on the rounding. Thanks for the help anyway.
B BigGlenntheHeavy Senior Member Joined Mar 8, 2009 Messages 1,577 Sep 29, 2009 #4 \(\displaystyle 7(1.08^{3x}+1) \ = \ 14\) \(\displaystyle By \ inspection \ it \ should \ be \ obvious \ that \ x \ = \ 0.\)
\(\displaystyle 7(1.08^{3x}+1) \ = \ 14\) \(\displaystyle By \ inspection \ it \ should \ be \ obvious \ that \ x \ = \ 0.\)
J JOSH BAR New member Joined Sep 29, 2009 Messages 36 Sep 29, 2009 #5 BigGlenntheHeavy said: \(\displaystyle 7(1.08^{3x}+1) \ = \ 14\) \(\displaystyle By \ inspection \ it \ should \ be \ obvious \ that \ x \ = \ 0.\) Click to expand... Its actually not that problem, it is the 3rd on listed. 7(1.08^(3x+1))=14
BigGlenntheHeavy said: \(\displaystyle 7(1.08^{3x}+1) \ = \ 14\) \(\displaystyle By \ inspection \ it \ should \ be \ obvious \ that \ x \ = \ 0.\) Click to expand... Its actually not that problem, it is the 3rd on listed. 7(1.08^(3x+1))=14