The discussion centers on solving the equation (3.4)^(2x+3) = 8.5 for x, resulting in x = -0.626. The solution involves dividing both sides by 3.4^3 and applying logarithmic properties. Participants clarified the correct notation and emphasized the importance of using parentheses to avoid confusion in mathematical expressions. The final solution was verified by substituting x back into the original equation.
PREREQUISITESStudents studying algebra, educators teaching mathematical concepts, and anyone looking to improve their skills in solving exponential equations.
Are you saying that the original looks exactly like that, using the caret symbol instead of a superscript? Seems unlikely, so what you have posted is probably a rendition. But what you posted is equivalent to 3.42x+3. If you meant 3.42x+3 then you can write it as 3.4^(2x+3). And I feel it is a little simpler to take logs first then solve 2x+3 = log(8.5)/log(3.4).brenfox said:Looked at the question again and I have wrote it correctly.