e. log,(x +3) 2 f. log(10000) g. log2 (x +2)-log2 (x-5)-3 10.The equation that a

Question

e. log,(x +3) 2 f. log(10000) g. log2 (x +2)-log2 (x-5)-3 10.The equation that a bank will use to calculate the amount in your savings is A - Pe". A represents the amount in the account, P represents the deposit amount, r is the interest rate, and t represents time in years. If $10,000 is deposited at an interest rate of 5%, find the time needed to have a balance of $14,000. 11. Graph log2 x y 12. Find the endpoints of the diameter of a circle are at (-2.6) and (10,8). Find the length of the diameter. a. b. Find the center of the circle. c. Find the equation of the circle.

Explanation / Answer

e) log 7 ( x+ 3) = 2

applying properties of log

x + 3 = 7^2

x + 3 = 49

x = 46

f) log ( 10000 )

= log (10^4 )

= 4 log 10

= 4

g) log 2 ( x+2) - log 2 ( x- 5) = 3

log 2 ( x+2 ) / ( x- 5) = 3

( x+ 2) / ( x- 5) = 2^3

x + 2 = 8 ( x- 5)

x + 2 = 8x - 40

7x = 42

x = 6

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