Exponential Equation Worksheet With Answers
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7Section 6.6 solutions
#1 - 12: Solve the exponential equation by writing each side of the equation with the same base then
equating the exponents. Problems also may be solved with logarithms.
x
4
1) 2
= 16 (I will rewrite the 16 as 2
)
x
4
2
= 2
Answer: x = 4
x+1
5
3) 2
= 32 (rewrite the 32 as 2
)
x+1
5
2
= 2
x + 1 = 5
Answer: x = 4
��
1
5) (
)
= 16 (easier to do with logs than my method)
2
1
−1
4
���� 2
������ 16 ���� 2
Rewrite
2
-1
x
4
(2
)
= 2
-x
4
2
= 2
-x = 4
Answer: x = -4
4−��
7) 2
= 64 (rewrite 64 as 2
6
)
4-x
6
2
= 2
4 – x = 6
-x = 2
Answer: x = -2
x
5
9) 32
= 2 (rewrite 32 as 2
)
5
x
1
(2
)
= 2
5x
1
2
= 2
5x = 1
Answer: x = 1/5
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