SOLUTION: Let logb 5 = X and logb 7 = y. Use the log laws to write each expression in terms of X and Y. a) logb 35 b) logb 49 c) logb (625/7)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Let logb 5 = X and logb 7 = y. Use the log laws to write each expression in terms of X and Y. a) logb 35 b) logb 49 c) logb (625/7)      Log On


   

Question 1001255: Let logb 5 = X and logb 7 = y. Use the log laws to write each expression in terms of X and Y.
a) logb 35
b) logb 49
c) logb (625/7)
Answer by ikleyn(52790) About Me  (Show Source):
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Let logb 5 = X and logb 7 = y. Use the log laws to write each expression in terms of X and Y.
a) logb 35
b) logb 49
c) logb (625/7)
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a)  log%28b%2C+%2835%29%29 = log%28b%2C+%285%2A7%29%29 = log%28b%2C+%285%29%29 + log%28b%2C+%287%29%29 = x + y.

b)  log%28b%2C+%2849%29%29 = log%28b%2C+%287%2A7%29%29 = log%28b%2C+%287%29%29 + log%28b%2C+%287%29%29 = y + y = 2y.

c)  log%28b%2C+%28625%2F7%29%29 = log%28b%2C+%28625%29%29 - log%28b%2C+%287%29%29 = log%28b%2C+%285%5E4%29%29 - log%28b%2C+7%29 = 4%2Alog%28b%2C+%285%29%29 = 4x - y.