Logarithms
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Convert to exponential form. log4 (4) = x
4^x = 4
True or False? (log a)(log b) = log(a + b)
False
True or False? log(a − b) = log a − log b
False
Product property
log(x)+log(y)=log(xy)
Quotient property
log(x)-log(y)=log(x/y)
One-to-one property
log(x)=log(y), so x=y
Convert to logarithmic form. 8^2 = 64
log8 (64) = 2
Convert to logarithmic form. x^2z = y
logx (y)/2 = z
Logarithmic form is the inverse of exponential form.
True
Find the inverse of the following equations. f(x) = log2 (x − 3) − 5
f −1 (x) = 2x + 5 + 3
Solve log(x) + log(x-1) = log(3x+12)
x = -2, 6
Convert to exponential form. logx (y) = z
x^z = y
Find the value of y. log5 (25) = y
y = 2
Find the value of y. logy (16) = 2
y = 4