Exponential Equation Worksheet With Answers Page 4
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727) ln x = 1 (write ln x as log
x, then write in exponential form)
e
Log
x = 1
e
1
Answer: x = e
= 2.72
29) log
49 = 2 (x >0)
x
= 49 (take the square root of both sides, don’t need ± since answer can only be positive)
2
x
Answer: x = 7
31) log
64 = 3 (x >0)
x
3
x
= 64 (now take cubed root of each side)
3
3
3
√��
= √ 64
Answer: x = 4
1
33) log
3 =
(x>0)
x
2
1
2 ⁄
��
= 3 (write as square root since ½ power and square root are equivalent)
√ �� = 3
2
2
( √ ��)
= 3
Answer: x = 9
35) log
(x-1) = 3
2
3
2
= x-1
8 = x – 1
Answer: x = 9
37) log
(2x)=5
2
5
2
= 2x
32 = 2x
Answer: x = 16
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