Exponential Equation Worksheet With Answers Page 2
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1
2
3
4
5
6
7x
2
11) 16
= 4 (rewrite 16 as 4
)
2
x
1
(4
)
= 4
2x
1
4
= 4
2x = 1
Answer: x = 1/2
#13 - 24: Solve the exponential equations, round your answer to 2 decimals.
x
13) log (3
)= log 6 (take log of each side)
x[log(3)] = log 6 ( use power to product rule)
log 6
�� =
(divide then use calculator)
log 3
Answer: x = 1.63
x
15) e
= 12 (take ln of each side)
x
Ln e
= ln 12
x(ln e)= ln 12 (use power to product rule)
x = ln 12 (ln e = 1)
Answer: x = ln(12) = 2.48
x
17) 5(10
) = 20 (divide both sides by 5)
x
10
= 4 (now take log of each side)
x
Log 10
= log 4 (use power to product rule)
x(log 10) = log 4 (log 10 = 1)
x = log 4
Answer: x = log(4) = .60
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