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National and Regional Contests
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MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
12
Exponents
Exponents
Source:
March 21, 2006
Problem Statement
The number of real values of
x
x
x
that satisfy the equation
(
2
6
x
+
3
)
(
4
3
x
+
6
)
=
8
4
x
+
5
(2^{6x+3})(4^{3x+6})=8^{4x+5}
(
2
6
x
+
3
)
(
4
3
x
+
6
)
=
8
4
x
+
5
is:
(A)
0
(B)
1
(C)
2
(D)
3
(E) greater than 3
\text{(A)} \ 0 \qquad \text{(B)} \ 1 \qquad \text{(C)} \ 2 \qquad \text{(D)} \ 3 \qquad \text{(E)} \ \text{greater than 3}
(A)
0
(B)
1
(C)
2
(D)
3
(E)
greater than 3
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