Algebra Chapter 4-4-b

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Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log 3^13 + log 3^10

log 3^130

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log 7^11 - log 7^x

log 7 11/x

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. (log q^q-log q^r) + 6 log q^p

log 9p6/r

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. 2log a^t - 5/3log a^s + 1/6log a^v - 6log a^u

log a t^2 v^1/6 / s^5/3 u^6

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log b^y - log b^b

log b y/b

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log m^m + log m^n

log m^mn

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. 2 log t^t - log t^s

log t t^2/s

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log w (x^2 - 64) - log w^(x - 8)

log w^(x + 8)

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log x^40 - log x^8

log x^5

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1. log x^6 + log x^y

log x^6y


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