SOLUTION: If (c,d) is a point on the graph of {{{y=log (b, a)}}}, what point must be on the graph of {{{y=log (1/b, a)}}}?
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Question 1111709: If (c,d) is a point on the graph of , what point must be on the graph of ?
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
(c,d) is a point on the graph so —>
If you take the reciprocal of the base, b becomes 1/b and the exponent must be negated to obtain c:
equivalent to
thus must be a point on the graph
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Example/sanity check:
because
because
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