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Logarithms help

Write the expression as the sum or difference of logarithms.

(1)        log[b][a(b-19)]

(2)        log[3](81/y)

Use the power property to rewrite the expression.

(1)        log[7]r^(3)

(2)      log[6]√5:(y)

(3)     log[18]a^(-1)

(4)       log[3]√4:(y)

write the expression as a single logarithm with coefficient 1. Assume that all variables represent positive real numbers.

(1)    5log[b]x-7log[b]y^(6)=log[b]

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1 Answer

(1)  log b [a(b - 19)] = log b a  +  log b (b - 19)

(2)  log 3 (81/y) = log 3 34 - log 3 y = 4 - log 3

(1) .... = 3 log 7 r
(2) .... = What does the colon between 5 and "y" stand for?

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