The value of
is 3.
Solution:
Step 1: Given expression is
.
125 can be expressed as ![5^3.](https://tex.z-dn.net/?f=5%5E3.)
![\log_5{125}=\log_5{5}^3](https://tex.z-dn.net/?f=%5Clog_5%7B125%7D%3D%5Clog_5%7B5%7D%5E3)
Step 2: Using log rule: ![\log_a{x^b}=b\log_a{x}](https://tex.z-dn.net/?f=%5Clog_a%7Bx%5Eb%7D%3Db%5Clog_a%7Bx%7D)
![\log_5{5}^3=3\log_5{5}](https://tex.z-dn.net/?f=%5Clog_5%7B5%7D%5E3%3D3%5Clog_5%7B5%7D)
Step 3: Using log rule: ![\log_a{a}=1](https://tex.z-dn.net/?f=%5Clog_a%7Ba%7D%3D1)
![\log_5{5}= 1](https://tex.z-dn.net/?f=%5Clog_5%7B5%7D%3D%201)
⇒ ![3\log_5{5}= 3(1)](https://tex.z-dn.net/?f=3%5Clog_5%7B5%7D%3D%203%281%29)
⇒ ![3\log_5{5}= 3](https://tex.z-dn.net/?f=3%5Clog_5%7B5%7D%3D%203)
∴ ![\log_5{125}=3](https://tex.z-dn.net/?f=%5Clog_5%7B125%7D%3D3)
Hence the value of
is 3.
Another name for animal-like protists are called protozoa<span>. They </span><span>are single-celled eukaryotes. Similar to animals, they are able to move and are </span>heterotrophs<span>.
Hope this helps!
</span>
Answer:
I think the answer is srry if I'm wrong but it's 22 or 42
Step-by-step explanation:
ur welcome srry if I got it wrong
Let the sisters have dollars in the amounts of a,b,c.
<span>After the youngest splits half of hers with the others, they have </span>
<span>a/2, b+a/4, c+a/4 </span>
<span>After the middle gives each of the others 4, they have </span>
<span>a/2 + 4, b+a/4 - 8, c+a/4 + 4 </span>
<span>After the eldest splits half of hers with the others, they have </span>
<span>a/2 + 4 + (c+a/4 + 4)/4, b+a/4 - 8 + (c+a/4 + 4)/4, (c+a/4 + 4)/2 </span>
<span>Now they all have 16. </span>
<span>a/2 + 4 + (c+a/4 + 4)/4 = 16 </span>
<span>b+a/4 - 8 + (c+a/4 + 4)/4 = 16 </span>
<span>(c+a/4 + 4)/2 = 16 </span>
<span>substituting in the last expression, we have </span>
<span>a/2 + 4 + 8 = 16 </span>
<span>b + a/4 - 8 + 8 = 16 </span>
<span>c/2 + a/8 + 2 = 16 </span>
<span>a = 8 </span>
<span>b = 14 </span>
<span>c = 26</span>
This is probably not right, but Im gonna try my best and I feel you. I could possibly be because of pressure but I dont know. I REALLY hope thats right, its my best guess.sorry