Matthew has 8 pencils.three of them do not have erasers on the end .what is the fraction on the pencil do not have erasers of th
2 answers:
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Use the change-of-basis identity,
to write
Use the product-to-sum identity,
to write
Redistribute the factors on the left side as
and simplify to
Now expand the right side:
Simplify and rewrite using the logarithm properties mentioned earlier.
(C)
Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)= (where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒ = 0.84
or
log(5) = 0.84 × log(b)
or
log(5) = (as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 =
or
b = 6.79
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Selling Price = $145
Charge on first $25 is 5.25%
5.25% of $25 =
Charge on rest is 3.25%
rest amount = $145 - $25 = $120
3.25% of $120 =
Charge on first $25 is 5.25%
5.25% of $25 =
Charge on rest is 3.25%
rest amount = $145 - $25 = $120
3.25% of $120 =