Which expression is equivalent to log subscript 8 baseline 4 a (startfraction b minus 4 over c superscript 4 baseline endfraction)?
log subscript 8 baseline 4 + log subscript 8 baseline a minus log subscript 8 baseline (b minus 4) minus 4 log subscript 8 baseline c
log subscript 8 baseline 4 + log subscript 8 baseline a + (log subscript 8 baseline (b minus 4) minus 4 log subscript 8 baseline c)
log subscript 8 baseline 4 a + log subscript 8 baseline b minus 4 minus 4 log subscript 8 baseline c minus 4
log subscript 8 baseline 4 + log subscript 8 baseline a minus log subscript 8 baseline (b minus 4) minus log subscript 8 baseline 4 c

The equivalent expression is log Subscript 8 Baseline 4 + log Subscript 8 Baseline a + (log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c)

Step-by-step explanation:

The expression is written as  

Using the log rule: , the expression can be written as,

Using the log rule: , the expression can be written as,  

Since, we know that, , the expression is written as,

Thus, the equivalent expression is log Subscript 8 Baseline 4 + log Subscript 8 Baseline a + (log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c)

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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