Powers and Roots – Solving exponential equation – Exercise 5577 Post category:Powers and Roots Post comments:0 Comments Exercise Solve the equation: (3)3−x=9x+2{(\sqrt{3})}^{3-x}=9^{x+2}(3)3−x=9x+2 Final Answer Show final answer x=−1x=-1x=−1 Solution Using Powers and Roots rules we get: (3)3−x=9x+2{(\sqrt{3})}^{3-x}=9^{x+2}(3)3−x=9x+2 312(3−x)=32(x+2)3^{\frac{1}{2}(3-x)}=3^{2(x+2)}321(3−x)=32(x+2) 12(3−x)=2(x+2)\frac{1}{2}(3-x)=2(x+2)21(3−x)=2(x+2) 3−x=4(x+2)3-x=4(x+2)3−x=4(x+2) 3−x=4x+83-x=4x+83−x=4x+8 −5x=5-5x=5−5x=5 x=−1x=-1x=−1 Share with Friends Read more articles Previous PostPowers and Roots – Simplify an expression with powers – Exercise 5570 Next PostPowers and Roots – Simplify an expression with powers – Exercise 5591 You Might Also Like Powers and Roots – Simplify an expression with powers – Exercise 5564 June 24, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5679 June 26, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5676 June 26, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5671 June 26, 2019 Powers and Roots – factorization of polynomial – Exercise 5594 June 25, 2019 Powers and Roots – Simplify an expression with roots – Exercise 5673 June 26, 2019 Leave a Reply Cancel replyCommentEnter your name or username to comment Enter your email address to comment Enter your website URL (optional) Δ
