Download 3.4 Worksheet #1

Pre-Calculus A
Name _________________________________ Hour ______
3.4 Worksheet #1
In Exercises 1-4, decide whether the x-value is a solution of the equation:
1) 42𝑥−7 = 64, when x = 5
2) 42𝑥−7 = 64, when x = 2
3) 23𝑥+1 = 32, when x = -1
4) 23𝑥+1 = 32, when x = 2
In Exercises 5 – 10, solve the exponential equation (undo exponents by taking the log of
the base you are trying to undo on each side)
5) 4𝑥 = 16
6) 5𝑥 =
1
625
1
7) ( )𝑥 = 64
8
2
81
3
16
8) ( ) x =
9) 6(10𝑥 ) = 216
10)
2𝑥+3 = 256
In Exercises 11 - 15, solve the logarithmic equations (by taking the inverse/power of both sides
of the equation)
11)
ln x = ln 5
12)
ln x = -7
13)
log x 625 = 4
14)
log10 x = -1
15)
ln (2x -1) = 5
In Exercises 16 – 20, simplify (remember inverses cancel and = 1)
16)
ln 𝑒 𝑥
17)
𝑒 ln(5𝑥+2)
18)
-1 + ln 𝑒 2𝑥
19)
ln 𝑒 2𝑥−1
20)
-8 + 𝑒 𝑙𝑛𝑥