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Which of the following is equivalent to the expression log3(a5bc2)?

A. (log35a)(log3b)log32c
B. (5log3a)(log3b)2log3c
C. log35a+log3b−log32c
D. 5log3a+log3b−2log3c

Sagot :

Answer:

10log10(3)abc

Abidemiokinidn

The equivalent expression for the log function log3(a^5bc^2) is  5log3a+log3b−2log3c

Logarithmic functions

Logarithmic functions are expressed as the inverse of exponential functions.

Given the logarithmic expression

log3(a^5bc^2)

Since product are written in form of addition, hence;

log3(a^5bc^2) = log3(a^5) + log3(b) + log3(c^2)

The power will be carried to the back of the log function;

log3(a^5bc^2) = 5log3(a) + log3(b) + 2log3(c)

This gives the equivalent expression for the log function log3(a^5bc^2)

Learn more on logarithmic expression here: https://brainly.com/question/25710806

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