The proof that δqpt ≅ δqrt is shown. given: sp ≅ sr prove: δqpt ≅ δqrt triangle p q r is shown. angle p q r is cut by a perpendicular bisector to form midpoint t on side p r. point s is on line q s. lines are drawn from points p and r to point s. line segments p s and s r are congruent.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

to complete this square you have to rotate about the origin 270 degrees clockwise.

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step-by-step explanation: