The value of c is 5 when we simplify the logarithmic equation log(-c) + log8= log (7c-75). This can be obtained using the properties of the logarithm.
Given that,
log(-c) + log8 = log (7c-75)
log (-8c) = log (7c-75) (∵ log a + log b = log ab)
- 8c = 7c - 75
(8+7)c = 75
15c = 75
⇒ c = 5
Hence the value of c is 5 when we simplify the logarithmic equation log(-c) + log8= log (7c-75).
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