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Alja [10]
2 years ago
6

Step by step 7 ,9, and 11 please. EVEN IF U CANT DO ALL, u can help with 1 or 2. Ill mark brainly.

Mathematics
1 answer:
o-na [289]2 years ago
8 0

Answer:

7) 4 \ log_3(x) - 4 \ log_3(y)

9) 5log_4(7) - 5log_4(12)

11) 5log_5 \ (x) - log_5 \ (y)

Step-by-step explanation:

log_3 (\frac{x}{y})^{4}

----------------------------------------------------------------------------------------------------

Use Logarithm of a Quotient which states

log_b \frac{M}{N}  = log_b M-log_bN

And also use Logarithm of a Power which states

log_b\ M^{n} = n\log_bM

----------------------------------------------------------------------------------------------------

So using these two properties,

7. 4 \ log_3(x) - 4 \ log_3(y)

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

For #9, use the same logarithm propertied

log_4(\frac{7}{12})^5 = 5log_4(7) - 5log_4(12)

----------------------------------------------------------------------------------------------------

----------------------------------------------------------------------------------------------------

#11 is also the same concept

log_5\ \frac{x^5}{y} = 5log_5 \ (x) - log_5 \ (y)

It is not  - 5 log5(y) since only x is to the power of 5 not y

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