Use the definition of a logarithm to prove 
. Hint: Let 
and 
. Then, ![]()
class="wirisformula" data-wiris-created="true" src="https://sciemce.com/media/3/ppg__cognero__5.2_Logarithmic_Functions__media__25834994-c6f2-451b-afb3-91d68f35bd28.PNG" style="vertical-align: middle;" /> and 
.
What will be an ideal response?
Let 
and 
so that 
and 
. Then 
and by definition, 
; that is 
.
and so that and . Then and by definition, ; that is .
Mathematics
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Perform the indicated operation. Simplify if possible.
- 
A. - 
B. 
C. - 
D. 
Mathematics
Find the probability of the compound event.A game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probability that the first number is a 3 and the second is a 7?
A. 
B. 
C. 
D. 
Mathematics
Multiply. Write the answer in descending order and combine like terms.(x + 2)2
A. x + 4 B. 4x2 + 4x + 4 C. x2 + 4 D. x2 + 4x + 4
Mathematics
Write the improper fraction as a mixed or whole number.5
A. 
B. 5
C. 555
D. 55
Mathematics