
hi I'm Becky, My questions are secondary. I'm a student.
How do they get these answers?
 log 8 + log 2 = ?
Answer is: log 16
 For 0 degree < x < 90 degree, how many solutions are there for the
equation 2sin x = cos x?
Answer: 1
Thanks for your time
Hi Becky,
 There are two properties of the logarithm functions that are important in many problems that involve these functions. They are
log(ab) = log(a) + log(b)
log(a^{b}) = b log(a)
Write 8 as 2^{3} and use the second of these properties.
 If 2 sin x = cos x then 2 tan x = 1 or tan x = 1/2. Plot the graph of tan x for 0^{o} < x < 90^{o}.
Cheers,
Penny
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