If log\(_a\)(y + 2) = 1 + log\(_a\) x, find x in terms of y.
2. The table shows the distribution of timber production in five communities in a certain year
Community
Timber Production (tonnes)
Bibiani
Amenfi
Oda
Wiawso
Sankore
600
900
1800
1500
2400
1. Draw a pie chart to represent the information.
2. What percentage of timber produced that year was from Amenfi?
3. If a tonne of timber is sold at $560.00, how much more revenue would Oda community receive than Bibiani?
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a) Applying the laws of logarithm, log(y + 2) = log ax which amplies that y + 2 = ax and finding x to get
x = \(\frac{y + 2}{a}\)
(b)(i) The pie is shown
(b)(i) The percentage of timber produced that year that was from Amenfi = \(\frac{900}{7200}\) x 100% = 12.5%
(ii) Difference in revenue = $560.00(1800 - 600) = $672,000.00
Source: Myschool Past Questions Archive (Record #56257)