Open Question: I need help with Logarithims?
I need help with Logarithims
Help me with these problems will give 10 POINTS!!!
2) Solve for x: log (10-3x)-2log x=0
A) {-5,2}
B) 2, only
C) 5, only
D){-2,5}
3) Which equation is equivalent to y=3^x
A) log 3y=x
B) log 3 x=y
C) log y x=3
D) log y^3=x
4) Find the value of log8^4
5) The expression 1/3 log (a)-3 log(b) is equivalent to
6) Solve: log 2/3 x= -3
8) The amount of money A after t years that principle P will become if it is invested at rate r compounded n times a year Is given by the relationship A(t)= P(1+r/n)6nt
Where r is expressed as a decimal. To the nearest tenth, how long will it take $2,500 to become 4,500 if it is invested at 7% and is compounded quarterly?
9) Solve for x: log(x-3)=logx-log2)
A) (2,1)
B) 3+ radical 11/2
C) 5/2
D) 6
10) The expression log a^3/ b is equivalent to
A) 1/3(log a-log b)
B) 3(log a/log b)
C) 3(log a-log b)
D) 3 log a –log b
11) The expression log x^2y^3/radicalz is equivalent to
12) The expression log(r ^ n/ radical y) is equivalent to
13) A new boat will decrease in value at a rate of 8% per year according to this formula V= C(1-r)^t where V is the value of the boat after t years, C is the original cost, and r is the rate of depreciation. If a boat costs $40,000 new, find the number of years until the boat is worth $18,000.
14) Solve: log x^3 = ½
15) Solve: Log 27x=-2/3
