MAC1105 Lecture 27: 6.6 Logarithmic and Exponential Equations Notes

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6. 6 logarithmic and exponential equations notes: sterling. Provide a generalization to the terms listed in this section. If you let m , n , and even a being all positive real numbers while having a 6= 1, then. , and this only happens i if and only if that. M = n loga (m ) = loga (n : ax is 1 to 1 theorem. If you let both u and v be real numbers while having both a > 0 and a 6= 1, then and this only happens i if and only if that u = v au = av. 3x 3 + 3 = 240 + 3. 1 + log6 (x + 1) + log6 (x + 2) = 0. 1 + log6 ((x + 1) (x + 2)) = 0. 6 ln(2) ln(5) 2 ln(2) x = 6 ln(2) N (cid:19) = loga (m ) loga (n ) loga (m r) = r loga (m )

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