Answer to Question #92154 in Algebra for Stephanie Palmer

Question #92154

Solve the exponential equation. Express the solution in exact form (ie. no calculator) then express the solution in
approximate form to two decimal places. 1) 2x + 8= 5

Expert's answer

"2^{x+8}=5".

"ln2^{x+8}=ln5".

"(x+8)ln2=ln5."

"x=\\frac{ln5}{ln2}-8".

"x\\approx-5.68."

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