ANSWER
EXPLANATION
The given expression is
This is having a negative index. We must first of all change to a positive index.
Recall that,
We apply this law of exponents to get,
We cab rewrite the given expression to obtain;
This will simplify to give us,
Best Answer
999/7 is just over 142
100/7 is just over 14
so there are (142 - 14) = 128 numbers that are multiples of 7, hence there are 999-99-128 = 772 numbers that are not multiples of 7.
Answer:
31
Step-by-step explanation:
add the 2 angles given
37 + 25 = 62
then take half of that 62/2 = 31
angle 1 = 31 degrees
Answer:
a) 7/4 b) 5 c) 2
Step-by-step explanation:
Logrithmic Rule for a and b
Let a, M, N be positive real numbers.
a)
logaM - logaN = loga(M/N)
log9(7) - log9(4) = log9 (7/4)
b)
logaM + logaN = logaMN
log2 (x) + log2(9) = log2(45)
x9=45
(x9)/9 = 45/9
x = 5
c)
Change of base formula.
logb(x)=logd(b)/logd(x)
x log6(5) = log6(25) divide each term by log6(5)
x log6(5) / log6(5) = log6(25) / log6(5) Cancel common factor log6(5)
x = log6(25) / log6(5)
x = log6(5^2) / log6(5)
Expand log6(5^2) by moving 2 outside the logarithm.
x = 2log6(5) / log6(5) cancel the like term log6(5)
x = 2
