QUESTION 1
The given logarithm is

We apply the power rule of logarithms; 

We now apply the product rule of logarithm;


QUESTION 2
The given logarithm is

We apply the power rule of logarithm to get;

We apply the product to obtain;

We apply the quotient rule; 

![=\log_5(\frac{x^8 \sqrt[4]{y^3} }{z^5})](https://tex.z-dn.net/?f=%3D%5Clog_5%28%5Cfrac%7Bx%5E8%20%5Csqrt%5B4%5D%7By%5E3%7D%20%7D%7Bz%5E5%7D%29)
Answer:
x=0.625
Step-by-step explanation:
-(-2x+1)=9-14x
distribute:
2x-1=9-14x
add 1 to both sides
2x = 10-14x
add 14x to both sides
16x=10
divide by 16 to isolate x
x = 0.625
check:
-(-2(0.625)+1) = 9-14(0.625)
0.25 = 0.25
he solution set is
{
x
∣
x
>
1
}
.
Explanation
For each of these inequalities, there will be a set of
x
-values that make them true. For example, it's pretty clear that large values of
x
(like 1,000) work for both, and negative values (like -1,000) will not work for either.
Since we're asked to solve a "this OR that" pair of inequalities, what we'd like to know are all the
x
-values that will work for at least one of them. To do this, we solve both inequalities for
x
, and then overlap the two solution set
Answer:
9.75
Step-by-step explanation:
48-3=45
45-9=38
38÷4=9.75