Solve the equation
\( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)
a
3/2
b
− 7/4
c
4/7
d
7/4
Explanation
Correct Option
bVideo Explanation
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Dalonise05
1 month ago
5^(x-2) = (1/125)^(x+3)
since 125 = 5^3
1/125 = 5^-3
5^(x-2) = 5^-3(x+3)
equal bases
x-2 = -3(x+3)
x-2 = -3x-9
take like terms together
x+3x = -9+2
4x = -7
x = -7/4



