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Express 3 log x^2 + 7 log x as a single log

1 Answer

5 votes

Answer:

log x^13.

Explanation:

Using the laws of logarithms

a log b = log b^a and log a + log b = log ab:

3 log x^2 + 7 log x

= log (x^2)^3 + log x^7

= log x^6 + log x^7

= log (x^6*x^7)

= log x^13.

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