Solving Exponential Equations with Logarithms
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
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QUESTION
Find
t
t
t
in
0.2
⋅
10
4
t
=
2
0.2\cdot 10^{4t}=2
0.2
⋅
1
0
4
t
=
2
and express the result as a logarithm.
QUESTION
Find
t
t
t
in
4
⋅
2
t
=
64
4\cdot 2^{t}=64
4
⋅
2
t
=
64
and express the result as a logarithm.
QUESTION
Find
t
t
t
in
10
3
t
=
10
12
10^{3t}=10^{12}
1
0
3
t
=
1
0
12
and give the exact value.
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ANSWER
t
=
4
t=4
t
=
4
. Since the bases are equal, equate exponents:
3
t
=
12
3t = 12
3
t
=
12
, so
t
=
4
t = 4
t
=
4
.
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