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Decide if the statement is true or false.
If it is false, rewrite it to make it true.
1. logb(x3 +y3) = 3logbx + 3logby
3.4 Solving Exponential Equations One method of solving exponential equations is to rewrite the problem with a common base.
Solve 3 x = 81
ln2
2. ln √2 = 2
3. log749 = log749 - log77
log77
4. logb(xy)5 = (logbx + logby)5
A second way of solving exponential equations is to rewrite them in log form.
Solve: ex = 8
Solve 25 = 125 x
Factor: x2 ­ 2x ­ 8
Solve: e2x ­ 2e x ­ 8 = 0
4(73x­1 ) = 32
e2x ­ 5e x = ­6
Solving Logarithmic Equations
Solve: ln(2x + 1) = ln(4x ­ 6)
ln x = 6
Solve: 3log2 x2 = 4
You have $1,000 to deposit in an account that pays 7% interest compounded continuously. How long will it take to double your money?
ln(x + 5) = ln (x ­ 1) ­ ln (x + 1)
Pg 461 12-24 by 4, 50-85 by 5 due
Wednesday
Quest tomorrow 3.1-3.3
no calculator